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Jorick S. Vink

Publications and source records attributed to Jorick S. Vink.

At least 19 recordsLinked to original sources

Hydrodynamical mass-loss rates for Very Massive Stars II. New theoretical mass-loss predictions at solar metallicity (Z = 0.02)

The evolutionary pathways and ultimate fates of very massive stars are governed primarily by mass loss through radiatively driven winds. We present a new theoretical mass-loss prescription for (very) massive stars, capturing the complex dependence on the Eddington parameter $Γ_e$, luminosity, temperature, and hydrogen abundance. We calculated an extensive grid of 178 hydrodynamically self-consistent wind-atmosphere models in non-local thermodynamic equilibrium using the PoWR-HD code, predicting wind properties such as the mass-loss rate and terminal velocity self-consistently. The grid spans masses $M_*$ = 16-500 Msun, luminosities $\log(L_*/L_\odot) = 5.5-6.8$, inner boundary temperatures $T_* = 12-50$ kK, and hydrogen mass fractions X = 0.01-0.9, at a fixed metallicity Z=0.02. We confirm the presence of a mass-loss kink in the $\dot{M}-Γ_e$ relation across the explored parameter space. The kink marks the transition from a shallow scaling ($\sim 2$) at low $Γ_\mathrm{e}$ for optically thin O-star winds to a steeper scaling ($\sim 10$) for optically thick winds at high $Γ_e$. We derive comprehensive fitting relations capturing both the kink behaviour and two bistability jumps arising from iron ionisation changes, and provide auxiliary relations for implementation into stellar evolutionary calculations. Our prescription correctly reproduces the model-independent transition mass-loss rate in the Arches Cluster, confirming the accuracy of our predicted rates at the O-to-WNh transition. Application of our recipe to the zero-age main sequence provides excellent agreement with recent empirical $\dot{M}-Γ_e$ relations obtained for a wide range of temperatures and Eddington parameters. We provide a physically motivated, continuous, and empirically anchored mass-loss recipe for (very) massive stars, suitable for stellar evolution calculations in the 20-500 Msun range.

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The physical origin of the maximum stellar size

One might expect the most massive stars to also be the largest by size, yet they are not, and this has puzzled astronomers for decades. The Eddington limit sets an upper bound to stellar mass through the balance between radiation pressure and gravity, but a second empirical boundary on stellar radius has equally far-reaching consequences for modern Astrophysics: it affects the black-hole masses and merger rates inferred by LIGO and Virgo, determines whether a star remains a hot, compact ionising source or inflates into a cool supergiant, and thereby shapes how spectra of distant, unresolved stellar populations are interpreted. Half a century ago, this radius limit was shown to trace a characteristic kinked shape in the Hertzsprung-Russell diagram known as the Humphreys-Davidson limit, yet a predictive, first-principle physical explanation has remained elusive. Here we show that this kink is the evolutionary manifestation of a transition from classical stellar outflows to an Eddington-enhanced mass-loss regime implemented self consistently in evolutionary models. With our models accurately reproducing the empirical constraints on the radii of the most massive stars, we now have a framework that can be incorporated into binary population synthesis, black-hole mass predictions, gravitational-wave event rates, and the interpretation of high-redshift James Webb spectra.

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On the Robustness of Bi-Stability Jump Predictions

The bi-stability jump is a long-standing theoretical prediction of radiatively driven wind theory, associated with Fe IV/III recombination around T = 21000 - 25000 K. While most theoretical approaches predict a strong increase in mass-loss rates across the bi-stability jump, most empirical mass-loss studies of OB supergiants have not revealed the expected signature. We computed new hydro-dynamically consistent PoWR models at low and intermediate Eddington parameters to test whether the bi-stability jump persists in the canonical B supergiant regime. The PoWR models presented here predict a robust bi-stability jump, with an increase in mass-loss rate by more than an order of magnitude and a simultaneous drop in terminal wind velocity in line with Monte Carlo models and other co moving frame (CMF) calculations. The jump coincides with a transition in the dominant line driver from Fe IV to Fe III. The presence of the bi-stability jump is not restricted to high Gammae objects and remains present for models well below the LBV/hypergiant regime. The persistence of the bi-stability jump in hydro-dynamically consistent models at lower Gammae supports the interpretation of the bi-stability jump as a temperature-driven ionisation effect that operates once a stationary line-driven wind solution exists. The continuing discrepancy between predictions and empirical population studies motivates further code comparison work and controlled observational tests using individual objects such as LBVs.

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The winds of OBA hypergiants and luminous blue variables: Dynamically-consistent atmosphere models reveal multiple wind regimes

OBA hypergiants (OBAHGs) are evolved massive stars with notable wind features in their optical spectrum. Located at the cool edge of the line-driven wind regime, many are candidate luminous blue variables (LBVs) likely near the Eddington limit. Although brief, this evolutionary stage deeply affects their surroundings and subsequent evolution. We study the mechanisms behind OBAHG winds and spectra, covering the temperature range of non-eruptive LBVs. Using the PoWR atmosphere code, we compute models with an Eddington parameter Gamma_e ~ 0.4 and moderate turbulent pressure, typical for cool hypergiants, varying the effective temperature from ~12.5 to ~38.0 kK at solar metallicity. Our models show a complex temperature-dependent mass-loss pattern, with regions of higher/lower rates linked to two wind solutions: "dense" and "rarefied." Spectra of known OBAHGs and LBVs match models from all solution regions. We find bi-stability jumps -- with sharp mass-loss increases -- at temperatures where Fe IV recombines to Fe III (and Fe III to Fe II). "Drops" in mass loss also occur when the leading Fe ion changes at wind onset, signaling a switch to rarefied solutions under insufficient driving opacity. The resulting velocity fields also reflect these different regimes: rarefied solutions match the empirical terminal velocity vs temperature relation, while dense ones deviate. Turbulent pressure is crucial for wind acceleration at cooler temperatures. We demonstrate that the bi-stability jumps exist in OBAHGs but are part of a broader complex behavior not replicated by current mass-loss recipes. Combining our and other recent results, we suggest that the switch between rarefied and dense solutions only occurs within a certain proximity to the Eddington Limit. Testing this requires future models with broader parameters and advanced treatments of radiatively-driven turbulence.

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Hydrodynamical mass-loss rates for Very Massive Stars. I. Investigating the wind kink

Radiation-driven winds are ubiquitous in massive stars, but in Very Massive Stars (VMSs), mass loss dominates their evolution, chemical yields, and ultimate fate. Theoretical predictions have often relied on extrapolations of O star prescriptions, likely underestimating true VMS mass-loss rates. In the first of a series of papers on VMS wind properties, we investigate a feature predicted by Monte Carlo (MC) simulations: a mass-loss `kink' or upturn where the single-scattering limit is breached and winds transition from optically thin to optically thick. We calculate hydrodynamically consistent non-LTE atmosphere models using the PoWR$^\mathrm{HD}$ code, with a grid spanning $40-135M_\odot$ and 12-50 kK at fixed $\log(L_\star/L_\odot) = 6.0$ and solar-like metallicity with $Z=0.02$. Our models confirm the existence of the kink, where the wind optical depth crosses unity and spectral morphology shifts from O star to WNh types. The predicted location of the kink coincides with the transition stars in the Galactic Arches cluster and reproduces the model-independent transition mass-loss rate of $\log(\dot{M}_\mathrm{trans}) \approx -5.16$ from Vink & Gräfener (2012). For the first time, we locate the kink at $Γ_\mathrm{e} \approx 0.43$ ($M_\star \approx 60M_\odot$) without relying on uncertain stellar masses. Above the kink, mass-loss rates scale much more steeply with decreasing mass (slope ~ 10), in qualitative agreement with MC predictions. We additionally identify two bistability jumps in the mass loss driven by Fe ionisation shifts: the first from FeIV to FeIII near 25 kK and the second from FeIII to FeII near 15 kK. Our models thus provide the first comprehensive confirmation of the VMS mass-loss kink while establishing a mass-loss relation with complex mass and temperature dependencies with consequences for stellar evolution, chemical yields, and the black hole mass spectrum.

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Metal-poor single Wolf-Rayet stars: The interplay of optically thick winds and rotation

The Small Magellanic Cloud (SMC) hosts 12 known Wolf-Rayet (WR) stars, seven of which are apparently single. Their formation is a challenge for current stellar evolution models because line-driven winds are generally assumed to be quenched at a metallicity of Z < 0.004. Here, we present a set of mesa models of single stars with zero-age main sequence masses of 20 - 80 Msun considering different initial rotation speeds (Ω = 0 - 0.7 Ω_c), metallicities (Z = 0.002 - 0.0045), and wind mass-loss models (optically thin and thick winds). We show that if we account for optically thick winds, fast rotating (Ω = 0.6 Ω_c) single metal-poor O-type stars (with M > 20 Msun) shed their envelope and become WR stars even at the low metallicity of the SMC. The luminosity, effective temperature, evolutionary timescale, surface abundance, and rotational velocity of our simulated WR stars are compatible to the WRs observed in the SMC. We speculate that this scenario can also alleviate the excess of giant stars across the Humphreys-Davidson limit. Our results have key implications for black hole masses, (pair instability) supernova explosions, and other observable signatures.

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Black Holes at high and low metallicity

At the end of their lives the most massive stars collapse into black holes (BHs). The detection of an 85 $M_{\odot}$ BH from GW 190521 appeared to challenge the upper-mass limit imposed by pair-instability (PI). Using systematic MESA calculations with new mass-loss implementations, we show that 100 $M_{\odot}$ stars at metallicities below 0.1 $Z_{\odot}$ can evolve into blue supergiant progenitors with cores small enough to avoid PI, yet with limited envelope loss, yielding remnants within the second mass gap. The key ingredients involve (i) a proper consideration of internal mixing and (ii) physically motivated stellar winds. Our modelling provides a robust pathway that roughly doubles the maximum BH mass permitted by PI theory and establish a physically-consistent framework to explore the upper BH mass limit versus metallicity. For rapid rotation ($\ge$50\% of critical), the upper BH mass comes down to $\simeq$35 $M_{\odot}$, matching the LIGO/Virgo BH mass pile-up.

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Discovery of a new transitional type of evolved massive stars with hard ionizing flux

Wolf-Rayet (WR) stars are the evolved descendants of the most massive stars and show emission-line dominated spectra formed in their powerful stellar winds. Marking the final evolution stage before core collapse, the standard picture of WR stars has been that they evolve through three well-defined spectral subtypes known as WN, WC, and WO. Here, we present a detailed analysis of five objects that defy this scheme, demonstrating that WR stars can also evolve directly from the WN to the WO stage. Our study reveals that this direct transition is connected to low metallicity and weaker winds. The WN/WO stars and their immediate WN precursors are hot and emit a high flux of photons capable of fully ionizing helium. The existence of these stages unveil that high mass stars which manage to shed off their outer hydrogen layers in a low-metallicity environment can spend a considerable fraction of their lifetime in a stage that is difficult to detect in integrated stellar populations, but at the same time yields hard ionizing flux. The identification of the WN to WO evolution path for massive stars has significant implications for understanding the chemical enrichment and ionizing feedback in star-forming galaxies, in particular at earlier cosmic times.

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Minimum and maximum mass-luminosity relations for stripped stars

Envelope stripping, whether through single-star wind mass loss or binary mass transfer, is a key evolutionary pathway for the formation of classical Wolf-Rayet stars and lower-mass stripped helium (He) stars. However, to study the evolution of these objects into black holes, neutron stars, and stripped-envelope supernovae, we need appropriate input models for the core-He burning phase without relying on the uncertain evolution into this evolved phase. Reliable mass-luminosity relations (MLRs) for He stars are needed for stellar wind and evolution studies, but the MLRs currently in literature are either for fully-stripped or chemically homogeneous stars, neither of which reflect the important and recently also observationally confirmed stage of partial stripping. We alleviate this drawback by computing sets of MESA synthetic structure models with partially-stripped chemical profiles, consisting of a pure-He core and a hydrogen (H)-depleted envelope with an H/He chemical gradient left behind from the receding convective core during the main sequence. As the H slope increases from 0 (full chemical homogeneity) to $\infty$ (pure-He stars) in our synthetic models, we find the luminosity to initially increase before eventually decreasing. The maximum luminosity for a given mass is reached for an intermediate H-profile slope corresponding to a partially-stripped structure, exceeding even the values documented for pure-He stars, primarily due to the H shell disproportionately dominating the total luminosity budget. We also provide convenient mass-luminosity fit relations to predict the minimum, maximum, and pure-He luminosities for a given mass -- and vice versa -- while accounting for structures achievable through partial stripping. We also explore the impact of the higher luminosity on the wind properties of partially-stripped configurations using hydrodynamically consistent atmosphere models.

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Globular cluster formation from inertial inflows: accreting extremely massive stars as the origin of abundance anomalies

We use the inertial-inflow model of massive star formation to describe the formation of globular clusters (GCs) in turbulent molecular clouds. A key aspect of this model is that the maximum stellar mass scales linearly with cloud mass, such that extremely massive stars (EMSs, $10^{3-4}\,\msun$) form in massive GCs ($\gtrsim10^5\,\msun$). The total wind mass loss is dominated by accreting EMSs (aEMSs), whose wind mass-loss rates have become comparable to their accretion rates ($\gtrsim10^{-2}\,\msun\,\yr^{-1}$). These winds pollute the intra-cluster medium with hot-hydrogen burning yields during GC formation. We propose a parameterised model for the evolution of the stellar mass function during GC formation ($\sim 1-2\,\myr$), accounting for gas inflow, wind mass loss and mixing of aEMS yields with pristine gas that has initial proto-GC abundances. Low-mass stars ($\lesssim1\,\msun$) form continuously from this mixed gas and their abundances resemble observed abundance trends with GC mass and metallicity, specifically: (i) the helium spread in a typical GC is small ($ΔY \simeq 0.01$) and increases with GC mass; (ii) the fraction of polluted stars increases with GC mass and metallicity; (iii) the extent of the Mg-Al anticorrelations is more pronounced in metal-poor and massive GCs. We conclude that GCs formed with a population of EMSs from gas with surface densities $\gtrsim10^3\,\msun\,\pc^{-2}$ and that nitrogen-rich galaxies discovered by the James Webb Space Telescope ({\it JWST}) are dominated by EMS-rich GCs that formed in the earliest phases of galaxy formation. These EMSs may have left behind intermediate-mass black holes with masses above the pair-instability gap ($\gtrsim120\,\msun$) that could be found with ongoing gravitational wave experiments.

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Near-Eddington mass loss of hydrogen-rich Wolf-Rayet stars

Context. Very massive clusters and regions of intense star formation such as the center of our Milky Way contain young, hydrogen-burning stars very close to the Eddington Limit. Formally classified as hydrogen-rich Wolf-Rayet stars, the winds and spectra of these stars are distinctively different to the more evolved, classical Wolf-Rayet (cWR) stars. Results. We find an overall downward trend of the mass-loss rate with increasing temperature and decreasing metallicity. However, at SMC metallicities and above, we find a maximum in the wind efficiency with the mass-loss eventually decreasing again at lower temperatures. For intermediate metallicities, we also find strong discontinuities in the mass-loss trends, which do not appear at high or very low metallicities. For the lowest metallicities, a more homogeneous behavior is obtained without any maximum in the wind efficiency. The terminal velocities are generally higher for hotter temperatures. For cooler temperatures, the combined effect of metallicity and mass-loss change significantly reduces the changes in terminal velocity with metallicity. Conclusions. Contrary to cWR stars, the spectral appearance of late-type WNh stars rules out supersonic winds launched at the hot iron bump. Instead, a more extended quasi-hydrostatic regime is necessary. The proximity to the Eddington limit and the complex interactions cause a lot of substructure in the global wind parameter trends. While the strong discontinuities show resemblances to the bi-stability jump predicted for the B-supergiant regime, our models reveal a more complex origin. At sub-SMC metallicity, iron is no longer a major key for setting the mass-loss rate in this WNh regime. Instead, other elements (e.g. nitrogen) and continuum contributions become important.

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Fifty Years of CAK

We present a new framework for massive star evolution that is no longer driven by Dutch or other mass-loss rate Recipes, but which take the physics of Gamma or L/M dependent mass loss consistently into account. We first discuss the hot-star mass-loss kink and the transition mass loss rate between optically thin and thick winds, before discussing vertical stellar evolution, mass evaporation, and the maximum black hole (BH) mass. We end with a suggestion that a recently uncovered red supergiant (RSG) kink might be related to similar underlying L/M physics as the hot-star kink.

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The impact of wind mass loss on nucleosynthesis and yields of very massive stars at low metallicity

The chemical feedback from stellar winds in low metallicity (Z) environments is key for understanding the evolution of globular clusters and the early Universe. With disproportionate mass lost from the most massive stars (M > 100Msun), and an excess of such stars expected at the lowest metallicities, their contribution to the enrichment of the early pristine clusters could be significant. In this work, we examine the effect of mass loss at low metallicity on the nucleosynthesis and wind yields of (very) massive stars. We calculate stellar models with initial masses ranging from 30 to 500Msun during core Hydrogen and Helium burning phases, at four metallicities ranging from 20% Zsun down to 1% Zsun. The ejected masses and net yields are provided for each grid of models. While mass-loss rates decrease with Z, we find that not only are wind yields significant, but the nucleosynthesis is also altered due to the change in central temperatures and therefore also plays a role. We find that 80-300Msun models can produce large quantities of Na-rich and O-poor material, relevant for the observed Na-O anti-correlation in globular clusters.

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The black hole - pair instability boundary for high stellar rotation

The Pair Instability (PI) boundary is crucial for understanding heavy merging Black Holes (BHs) and the second mass gap's role in galactic chemical evolution. So far, no works have critically and systematically examined how rotation and mass loss affect the PI boundary or BH masses below it. Rapid rotation significantly alters stellar structure and mass loss, which is expected to have significant effects on the evolution of stellar models. We have previously derived a critical core mass independent of stellar evolution parameters, finding the BH (Pulsational) PI boundary at $M_{ CO, crit} = 36.3 M_\odot$ for a carbon-oxygen (CO) core. Using MESA, we model massive stars around the PI boundary for varying rotation rates and metallicities. We implement mechanical mass loss in MESA, studying its effects on massive stars in low-metallicity environments. Below $1/100$th $Z_\odot$, mechanical mass loss dominates over radiative winds. We check the BH-PI boundary for rapid rotators to confirm our critical core mass criterion and derive model fits describing rotation's impact on core and final masses. Fast rotators reach a point (typically $Ω/ Ω_{crit} \approx 0.6$) where the entire star becomes chemically homogeneous, evolving like a stripped star. This lowers the maximum BH mass before PI to its critical core mass of $M_{CO, crit} = 36.3 M_\odot$, aligning with the bump feature in the BH mass distribution observed by LIGO/VIRGO.

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New empirical mass-loss recipe for UV radiation line-driven winds of hot stars across various metallicities

The winds of massive stars remove a significant fraction of their mass, strongly impacting their evolution. As a star evolves, the rate at which it loses mass changes. In stellar evolution codes, different mass-loss recipes are employed for different evolutionary stages. The choice of the recipes is user-dependent and the conditions for switching between them are poorly defined. Focusing on hot stars, we aim to produce a physically motivated, empirically calibrated mass-loss recipe suitable for a wide range of metallicities. We want to provide a ready-to-use universal recipe that eliminates the need for switching between recipes for hot stars during stellar evolution calculations. We compile a sample of hot stars with reliable stellar and wind parameters in the Galaxy and the Magellanic Clouds. The sample is used to determine the dependence of the mass-loss rate on the basic stellar parameters. We find that independent of evolutionary stage and temperature, the wind mass-loss rate is a function of the electron-scattering Eddington parameter ($Γ_e$) and metallicity (Z), being in line with expectations of radiation-driven wind theory. Our derived scaling relation provides an adequate ($Δ$log($\dot{M}$/(M$_\odot$/yr)) = 0.43) and broadly applicable mass-loss recipe for hot stars. The newly derived mass-loss recipe covers nearly the entire parameter space of hot stars with UV radiation-driven winds and eliminates the need for interpolation between mass-loss formulae at different evolutionary stages when applied in stellar evolution models. Examples of stellar evolution calculations using our new recipe reveal that the predictions on the ionizing fluxes and final fates of massive stars, especially at low metallicity, differ significantly from models that use the standard mass-loss rates, impacting our understanding of stellar populations at low metallicity and in the young Universe.

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Strong nebular HeII emission induced by He$^+$ ionizing photons escaping through the clumpy winds of massive stars

The origin of nebular HeII-emission in both local and high-redshift galaxies remains an unsolved problem. Various theories have been proposed to explain it, including HeII-ionization by high mass X-ray binaries, ultra-luminous X-ray sources, or "stripped" He stars, shock ionization, and hidden AGNs. All these theories have shortcomings, however, leaving the cause of nebular HeII emission unclear. We investigate the hypothesis that the photons responsible for driving nebular HeII emissions are produced by the evolution of single massive stars and/or WR stars. We combine models of stellar evolution with population synthesis and nebular models to identify the most favorable scenarios for producing nebular HeII via this channel. We find that, if WR winds are clumpy enough to become close to optically thin, stellar populations with a wide range of metallicities and rotation rates can produce HeII ionizing photons at rates sufficient to explain the observed nebular $I(HeII)/I(\mathrm{H}β)$ ratio $\sim 0.004-0.07$ found in HeII-emitting galaxies. Metal-poor, rapidly rotating stellar populations ($[\mathrm{Fe}/\mathrm{H}]=-2.0$, $v/v_\mathrm{crit}=0.4$) also reach these levels of HeII production even for partially clumpy winds. These scenarios also yield HeII, H$β$, and "Blue-Bump" line equivalent widths comparable to those observed in HeII emitters. Only for laminar, non-clumpy winds, do we fail to find combinations of metallicity and stellar rotation rate that yield $I(HeII)/I(\mathrm{H}β)$ values as high as those observed in HeII-emitters. Contrary to previous findings, we conclude that single WR stars can be a strong source for nebular HeII emission if their winds are sufficiently clumpy allowing significant escape of hard ionizing photons.

astro-ph.GA↗

The wind properties of O-type stars at sub-SMC metallicity

Radiation-driven winds heavily influence the evolution and fate of massive stars. Feedback processes from these winds impact the properties of the interstellar medium of their host galaxies. The dependence of mass loss on stellar properties is poorly understood, particularly at low metallicity ($Z$). We aim to characterise stellar and wind properties of massive stars in Local Group dwarf galaxies with $Z$ below that of the Small Magellanic Cloud and confront our findings to theories of radiation-driven winds. We perform quantitative optical and UV spectroscopy on a sample of 11 O-type stars in nearby dwarf galaxies with $Z < 0.2\,Z_\odot$. The stellar atmosphere code Fastwind and the genetic algorithm Kiwi-GA are used to determine stellar and wind parameters. Inhomogeneities in the wind are assumed to be optically thin. The winds of the sample stars are weak, with mass loss rates $\sim 10^{-9}-10^{-7}\,M_\odot\,{\rm yr}^{-1}$. Such feeble winds can only be constrained if UV spectra are available. The modified wind momentum as a function of luminosity ($L$) for stars in this $Z$ regime is in agreement with extrapolations to lower $Z$ of a recently established empirical relation for this quantity as a function of both $L$ and $Z$. However, theoretical prescriptions do not match our results or those of other recent analyses at low luminosity ($L \lesssim 10^{5.2}\,L_{\odot}$) and low $Z$; in this regime, they predict winds that are stronger by an order of magnitude or more. For our sample stars at $Z \sim 0.14\,Z_\odot$, with masses $\sim 30 - 50\,M_{\odot}$, stellar winds strip little mass during main-sequence evolution. However, if the steep dependence of mass loss on luminosity found here also holds for more massive stars at these metallicities, these may suffer as severely from main-sequence mass stripping as very massive stars in the Large Magellanic Cloud and Milky Way.

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A new mass estimate method with hydrodynamical atmospheres for very massive WNh stars

Very massive stars with masses over 100 Msun are key objects in the Universe for our understanding of chemical and energetic feedback in the Universe, but their evolution and fate are almost entirely determined by their wind mass loss. We aim to determine the mass of the most massive star known in the Local Group R136a1. For this we compute the first hydrodynamically consistent non-local thermodynamical equilibrium atmosphere models for both R136a1 (WN5h) as well as the binary system R144 (WN5/6h+WN6/7h) in the Tarantula nebula. Using the Potsdam Wolf-Rayet code, we simultaneously empirically derive and theoretically predict mass-loss rates and wind velocities. By fitting synthetic spectra derived from these models to multi-wavelength observations, we constrain the stellar and wind properties of R144 and R136a1. We first determine the clumping stratification required by our hydro-models to fit the spectra of R144 by using the available dynamical mass estimates for the two components. We then utilise this clumping stratification in hydrodynamic models of R136a1 and estimate a mass of $M_\mathrm{Hydro}$ of 233 Msun. Remarkably, the estimated mass is close to and entirely consistent with chemical homogeneous mass relations. This present-day mass of 233 Msun provides a lower limit to the initial stellar mass, that could be far higher due to previous wind mass loss.

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