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Tobias Mistele

Publications and source records attributed to Tobias Mistele.

At least 19 recordsLinked to original sources
arXiv2026

The Baryonic Mass-Halo Mass Relation of Extragalactic Systems

We combine data for extragalactic systems to quantify a relation between the observed baryonic mass $M_b$ and the enclosed dynamical mass $M_{200}$ inferred from kinematics or gravitational lensing. Our sample covers nine orders of magnitude in baryonic mass, including galaxies with kinematic or weak gravitational lensing data and groups and clusters of galaxies with new gravitational lensing data. For rich clusters with $M_b > 10^{14}\;\mathrm{M}_{\odot}$, the observed baryon fraction is consistent with the cosmic value, $f_b = 0.157$. For lower masses, the baryon fraction decreases systematically with mass. The variation is well described by $M_b/M_{200} = f_b \tanh(M_b/M_0)^{1/4}$ with $M_0 \approx 5 \times 10^{13}\;\mathrm{M}_{\odot}$. This relation is qualitatively similar to stellar mass-halo mass relations derived from abundance matching, but exhibits less scatter.

astro-ph.GA↗
arXiv2025

Mass models of galaxy clusters from a non-parametric weak-lensing reconstruction

We study the CLASH sample of galaxy clusters using a new deprojection method for weak gravitational lensing observations. This method is non-parametric, allowing us to infer mass profiles, or equivalently circular velocities, without having to assume a specific halo profile. While this method assumes spherical symmetry, we show that, on average, triaxiality is unlikely to significantly affect our results. We use this method to study the total mass profiles of the CLASH clusters, as well as the relation between their total and baryonic components: (1) We find that the implied circular velocities are consistent with being approximately flat at large radii, akin to the rotation curves of galaxies. (2) We infer radially resolved baryonic mass fractions, finding that these vary significantly from cluster to cluster and depend strongly on the details of the X-ray gas mass profiles. Since the gas mass profiles are poorly constrained at large radii, it is unclear whether the CLASH clusters reach the cosmic baryon fraction expected in $\Lambda$CDM. (3) The non-parametric masses are consistent with the stellar mass--halo mass relation expected in $\Lambda$CDM. (4) Galaxy clusters systematically deviate from the Baryonic Tully-Fisher Relation (BTFR) and the Radial Acceleration Relation (RAR) defined by galaxies, but the magnitude of the offset depends strongly on the gas mass extrapolation at large radii. Contrary to some previous results based on hydrostatic equilibrium, we find that galaxy clusters may fall on the same BTFR and RAR as galaxies if one adds a suitable positive baryonic mass component.

astro-ph.CO↗
arXiv2025

How black hole mimickers and Shapiro-free lenses signal effective dark matter

We report the existence of two exotic compact objects in the leading relativistic model of modified Newtonian dynamics, namely aether-scalar-tensor theory. This model is consistent with precision cosmology and gravitational wave constraints on tensor speed. Black hole mimickers could subtly change observations: gravitational waves from their mergers might show unusual echoes or altered ringdown patterns, and images of their horizon-scale shadows might be slightly different from those of a true black hole. Shapiro-free lenses are massless objects that deflect light without any gravitational time delay, producing distinctive lensing events. These predictions connect to ongoing and future gravitational-wave searches, horizon-scale imaging, and time-domain lensing surveys.

gr-qc↗
arXiv2024

A new non-parametric method to infer galaxy cluster masses from weak lensing

We introduce a new, non-parametric method to infer deprojected 3D mass profiles $M(r)$ of galaxy clusters from weak gravitational lensing observations. The method assumes spherical symmetry and a moderately small convergence, $κ\lesssim 1$. The assumption of spherical symmetry is an important restriction, which is, however, quite common in practice, for example in methods that fit lensing data to an NFW profile. Moreover, with a mild assumption on the probability distributions of the source redshifts, our method relies on spherical symmetry only at radii larger than the radius $r$ at which the mass $M$ is inferred. That is, the method may be useful even for clusters with a non-symmetric inner region, since it correctly estimates the enclosed mass beyond the radius where spherical symmetry is restored. We discuss how to correct, statistically and approximately, for miscentering given that the probability distribution of miscentering offsets is known. We provide an efficient implementation in Julia code that runs in a few milliseconds per galaxy cluster. We explicitly demonstrate the method by using data from KiDS DR4 to infer mass profiles for two example clusters, Abell 1835 and Abell 2744, finding results consistent with existing literature.

astro-ph.CO↗
arXiv2024

The empirical laws of galaxy dynamics: from gas kinematics to weak lensing

Galaxies obey a set of strict dynamical laws, which imply a close coupling between the visible matter (stars and gas) and the observed dynamics (set by dark matter in the standard cosmological context). Here we review recent results from weak gravitational lensing, which allows studying the empirical laws of galaxy dynamics out to exceedingly large radii in both late-type galaxies (LTGs) and early-type galaxies (ETGs). We focus on three laws: (1) the circular velocity curves of both LTGs and ETGs remain indefinitely flat out to several hundreds of kpc; (2) the same baryonic Tully-Fisher relation is followed by LTGs and ETGs; (3) the same radial acceleration relation (RAR) is followed by LTGs and ETGs. Combining galaxy data with Solar System data, the RAR covers about 16 orders of magnitude in the Newtonian baryonic acceleration. Remarkably, these empirical facts were predicted a priori by MOND.

astro-ph.GA↗
arXiv2024

A new scale in the quasi-static limit of Aether Scalar Tensor Theory

One of the aims of Aether Scalar Tensor Theory (AeST) is to reproduce the successes of Modified Newtonian Dynamics (MOND) on galactic scales. Indeed, the quasi-static limit of AeST achieves precisely this, assuming that the vector field $\vec{A}$ vanishes and that the so-called ghost condensate can be neglected. The effects of the ghost condensate were investigated in detail in previous studies. Here, we focus on the assumption of a vanishing vector field. We argue that this assumption is not always justified and show how to correctly take into account the vector field, finding that the quasi-static limit depends on a model parameter $m_\times$. In the limit $m_\times \to 0$, one recovers the quasi-static limit with a vanishing vector field. In particular, one finds a two-field version of MOND. In the opposite limit, $m_\times \to \infty$, one finds a single-field version of MOND. We show that, in practice, much of the phenomenology of the quasi-static limit depends only very little on the value of $m_\times$. Still, for some observational tests, such as those involving wide binaries, $m_\times$ has percent-level effects that may be important.

gr-qc↗
arXiv2024

Indefinitely Flat Circular Velocities and the Baryonic Tully-Fisher Relation from Weak Lensing

We use a new deprojection formula to infer the gravitational potential around isolated galaxies from weak gravitational lensing. The results imply circular velocity curves that remain flat for hundreds of kpc, greatly extending the classic result from 21 cm observations. Indeed, there is no clear hint of a decline out to 1 Mpc, well beyond the expected virial radii of dark matter halos. Binning the data by mass reveals a correlation with the flat circular speed that closely agrees with the Baryonic Tully-Fisher Relation known from kinematic data. These results apply to both early and late type galaxies, indicating a common universal behavior.

astro-ph.GA↗
arXiv2024

Radial acceleration relation of galaxies with joint kinematic and weak-lensing data

We combine kinematic and gravitational lensing data to construct the Radial Acceleration Relation (RAR) of galaxies over a large dynamic range. We improve on previous weak-lensing studies in two ways. First, we compute stellar masses using the same stellar population model as for the kinematic data. Second, we introduce a new method for converting excess surface density profiles to radial accelerations. This method is based on a new deprojection formula which is exact, computationally efficient, and gives smaller systematic uncertainties than previous methods. We find that the RAR inferred from weak-lensing data smoothly continues that inferred from kinematic data by about $2.5\,\mathrm{dex}$ in acceleration. Contrary to previous studies, we find that early- and late-type galaxies lie on the same joint RAR when a sufficiently strict isolation criterion is adopted and their stellar and gas masses are estimated consistently with the kinematic RAR.

astro-ph.GA↗
arXiv2023

Superfluid dark matter in tension with weak gravitational lensing data

Superfluid dark matter (SFDM) is a model that promises to reproduce the successes of both particle dark matter on cosmological scales and those of Modified Newtonian Dynamics (MOND) on galactic scales. SFDM reproduces MOND only up to a certain distance from the galactic center, and only for kinematic observables: It does not affect trajectories of light. We test whether this is consistent with a recent analysis of weak gravitational lensing that has probed accelerations around galaxies to unprecedentedly large radii. This analysis found the data to be close to the prediction of MOND, suggesting they might be difficult to fit with SFDM. To investigate this matter, we solved the equations of motion of the model and compared the result to observational data. Our results show that the SFDM model is incompatible with the weak-lensing observations, at least in its current form.

astro-ph.GA↗
arXiv2023

Aether scalar tensor theory confronted with weak lensing data at small accelerations

The recently proposed aether scalar tensor (AeST) model reproduces both the successes of particle dark matter on cosmological scales and those of modified Newtonian dynamics (MOND) on galactic scales. But the AeST model reproduces MOND only up to a certain maximum galactocentric radius. Since MOND is known to fit very well to observations at these scales, this raises the question of whether the AeST model comes into tension with data. We tested whether or not the AeST model is in conflict with observations using a recent analysis of data for weak gravitational lensing. We solved the equations of motion of the AeST model, analyzed the solutions' behavior, and compared the results to observational data. The AeST model shows some deviations from MOND at the radii probed by weak gravitational lensing. The data show no clear indication of these predicted deviations.

astro-ph.GA↗
arXiv2022

How Close Dark Matter Halos and MOND Are to Each Other: Three-Dimensional Tests Based on Gaia DR2

Aiming at discriminating different gravitational potential models of the Milky Way, we perform tests based on the kinematic data powered by the Gaia DR2 astrometry, over a large range of $(R,z)$ locations. Invoking the complete form of Jeans equations that admit three integrals of motion, we use the independent $R$- and $z$-directional equations as two discriminators ($T_R$ and $T_z$). We apply the formula for spatial distributions of radial and vertical velocity dispersions proposed by Binney et al., and successfully extend it to azimuthal components, $σ_θ(R,z)$ and $V_θ(R,z)$; the analytic form avoids the numerical artifacts caused by numerical differentiation in Jeans-equations calculation given the limited spatial resolutions of observations, and more importantly reduces the impact of kinematic substructures in the Galactic disk. It turns out that whereas the current kinematic data are able to reject Moffat's Modified Gravity (let alone the Newtonian baryon-only model), Milgrom's MOND is still not rejected. In fact, both the carefully calibrated fiducial model invoking a spherical dark matter (DM) halo and MOND are equally consistent with the data at almost all spatial locations (except that probably both have respective problems at low-$|z|$ locations), no matter which a tracer population or which a meaningful density profile is used. Because there is no free parameter at all in the quasi-linear MOND model we use, and the baryonic parameters are actually fine-tuned in the DM context, such an effective equivalence is surprising, and might be calling forth a transcending synthesis of the two paradigms.

astro-ph.GA↗
arXiv2022

Cherenkov radiation from stars constrains hybrid MOND dark matter models

We propose a new method to constrain alternative models for dark matter with observations. Specifically, we consider hybrid models in which cold dark matter (CDM) phenomena on cosmological scales and Modified Newtonian Dynamics (MOND) phenomena on galactic scales share a common origin. Various such models were recently proposed. They typically contain a mode that is directly coupled to matter (for MOND) and has a non-relativistic sound speed (for CDM). This allows even non-relativistic objects like stars to lose energy through Cherenkov radiation. This is unusual. Most modified gravity models have a relativistic sound speed, so that only high-energy cosmic rays emit Cherenkov radiation. We discuss the consequences of this Cherenkov radiation from stars.

gr-qc↗
arXiv2022

A novel Cherenkov radiation constraint for hybrid MOND dark matter models

Modified gravity models often contain modes that couple to normal matter and propagate with slightly less than the speed of light. High-energy cosmic rays then lose energy due to Cherenkov radiation, which constrains such models. This is also true for some MOND (Modified Newtonian Dynamics) models. However, these constraints are difficult to make precise because MOND is inherently non-linear and because the results may depend on the specific high-acceleration behavior of these models, i.e. the behavior outside the MOND regime. Recently, various hybrid MOND dark matter models were proposed, where cold dark matter (CDM) phenomenology on cosmological scales and MOND phenomenology on galactic scales share a common origin. Such models typically contain a mode that is directly coupled to matter (for MOND), but with non-relativistic sound speed (for CDM). Thus, even non-relativistic objects like stars can emit gravitational Cherenkov radiation. We calculate a lower bound on the associated energy loss. We use a controlled approximation that depends only on the MOND regime of these models. We apply our results to three concrete models: For the original superfluid dark matter model (SFDM), we rule out a part of the parameter space, including the most commonly used parameters. For two-field SFDM, we find no constraint since the matter coupling of the relevant mode is suppressed by mixing. For the recently-proposed model by Skordis and Złośnik, we find no constraint since the matter coupling is suppressed in non-static situations.

gr-qc↗
arXiv2022

Galactic Mass-to-Light Ratios With Superfluid Dark Matter

We make rotation curve fits to test the superfluid dark matter model. In addition to verifying that the resulting fits match the rotation curve data reasonably well, we aim to evaluate how satisfactory they are with respect to two criteria, namely, how reasonable the resulting stellar mass-to-light ratios are and whether the fits end up in the regime of superfluid dark matter where the model resembles modified Newtonian dynamics (MOND). We fitted the superfluid dark matter model to the rotation curves of 169 galaxies in the SPARC sample. We found that the mass-to-light ratios obtained with superfluid dark matter are generally acceptable in terms of stellar populations. However, the best-fit mass-to-light ratios have an unnatural dependence on the size of the galaxy in that giant galaxies have systematically lower mass-to-light ratios than dwarf galaxies. A second finding is that the superfluid often fits the rotation curves best in the regime where the superfluid's force cannot resemble that of MOND without adjusting a boundary condition separately for each galaxy. In that case, we can no longer expect superfluid dark matter to reproduce the phenomenologically observed scaling relations that make MOND appealing. If, on the other hand, we consider only solutions whose force approximates MOND well, then the total mass of the superfluid is in tension with gravitational lensing data. We conclude that even the best fits with superfluid dark matter are still unsatisfactory for two reasons. First, the resulting stellar mass-to-light ratios show an unnatural trend with galaxy size. Second, the fits do not end up in the regime that automatically resembles MOND, and if we force the fits to do so, the total dark matter mass is in tension with strong lensing data.

astro-ph.GA↗
arXiv2021

Three problems of superfluid dark matter and their solution

In superfluid dark matter (SFDM), the phonon field plays a double role: It carries the superfluid's energy density and it mediates the MOND-like phonon force. We show that these two roles are in tension with each other on galactic scales: A MOND-like phonon force is in tension with a superfluid in equilibrium and with a significant superfluid energy density. To avoid these tensions, we propose a model where the two roles are split between two different fields. This also allows us to solve a stability problem in a more elegant way than standard SFDM. We argue that the standard estimates for the size of a galaxy's superfluid core need to be revisited.

gr-qc↗
arXiv2020

The Milky Way's rotation curve with superfluid dark matter

Recent studies have shown that dark matter with a superfluid phase in which phonons mediate a long-distance force gives rise to the phenomenologically well-established regularities of Modified Newtonian Dynamics (MOND). Superfluid dark matter, therefore, has emerged as a promising explanation for astrophysical observations by combining the benefits of both particle dark matter and MOND, or its relativistic completions, respectively. We here investigate whether superfluid dark matter can reproduce the observed Milky Way rotation curve for $ R < 25\,\rm{kpc}$ and are able to answer this question in the affirmative. Our analysis demonstrates that superfluid dark matter fits the data well with parameters in reasonable ranges. The most notable difference between superfluid dark matter and MOND is that superfluid dark matter requires about $ 20\% $ less total baryonic mass (with a suitable interpolation function). The total baryonic mass is then $5.96 \cdot 10^{10}\,M_\odot$, of which $1.03\cdot10^{10}\,M_\odot$ are from the bulge, $3.95\cdot10^{10}\,M_\odot$ are from the stellar disk, and $0.98\cdot10^{10}\,M_\odot$ are from the gas disk. Our analysis further allows us to estimate the radius of the Milky Way's superfluid core (concretely, the so-called NFW and thermal radii) and the total mass of dark matter in both the superfluid and the normal phase. By varying the boundary conditions of the superfluid to give virial masses $M_{200}^{\rm{DM}}$ in the range $0.5-3.0\cdot10^{12}\,M_\odot$, we find that the NFW radius $R_{\rm{NFW}}$ varies between $65\,\rm{kpc}$ and $73\,\rm{kpc}$, while the thermal radius $R_T$ varies between about $67\,\rm{kpc}$ and $105\,\rm{kpc}$. This is the first such treatment of a non-spherically-symmetric system in superfluid dark matter.

astro-ph.GA↗
arXiv2019

The role of the chemical potential in coupling superfluid dark matter to baryons

Superfluid dark matter postulates that the centers of galaxies contain superfluid condensates. An important quantity regarding these superfluids is their chemical potential $ μ$. Here, we discuss two issues related to this chemical potential. First, there is no exactly conserved quantity associated with this chemical potential due to the symmetry-breaking baryon-phonon coupling. Second, $ μ$ is sometimes introduced by shifting the phonon field by $ μ\cdot t $ which -- again due to the symmetry-breaking baryon-phonon coupling -- introduces an explicit time dependence in the Lagrangian. We investigate under which conditions introducing a chemical potential is nevertheless justified and show how to correctly introduce it when these conditions are met. We further propose a model that recovers superfluid dark matter's zero-temperature equations of motion including a chemical potential even if the aforementioned conditions for justifying a chemical potential are not met.

astro-ph.GA↗