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Tomasz Bulik

Publications and source records attributed to Tomasz Bulik.

At least 73 records · Page 4Linked to original sources

Double Compact Objects as Low-frequency Gravitational Wave Sources

We study the Galactic field population of double compact objects (NS-NS, BH-NS, BH-BH binaries) to investigate the number (if any) of these systems that can potentially be detected with LISA at low gravitational-wave frequencies. We calculate the Galactic numbers and physical properties of these binaries and show their relative contribution from the disk, bulge and halo. Although the Galaxy hosts 10^5 double compact object binaries emitting low-frequency gravitational waves, only a handful of these objects in the disk will be detectable with LISA, but none from the halo or bulge. This is because the bulk of these binaries are NS-NS systems with high eccentricities and long orbital periods (weeks/months) causing inefficient signal accumulation (small number of signal bursts at periastron passage in 1 yr of LISA observations) rendering them undetectable in the majority of these cases. We adopt two evolutionary models that differ in their treatment of the common envelope phase that is a major (and still mostly unknown) process in the formation of close double compact objects. Depending on the adopted evolutionary model, our calculations indicate the likely detection of about 4 NS-NS binaries and 2 BH-BH systems (model A; likely survival of progenitors through CE) or only a couple of NS-NS binaries (model B; suppression of the double compact object formation due to CE mergers).

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On The Maximum Mass of Stellar Black Holes

We present the spectrum of compact object masses: neutron stars and black holes that originate from single stars in different environments. In particular, we calculate the dependence of maximum black hole mass on metallicity and on some specific wind mass loss rates (e.g., Hurley et al. and Vink et al.). Our calculations show that the highest mass black holes observed in the Galaxy M_bh = 15 Msun in the high metallicity environment (Z=Zsun=0.02) can be explained with stellar models and the wind mass loss rates adopted here. To reach this result we had to set Luminous Blue Variable mass loss rates at the level of about 0.0001 Msun/yr and to employ metallicity dependent Wolf-Rayet winds. With such winds, calibrated on Galactic black hole mass measurements, the maximum black hole mass obtained for moderate metallicity (Z=0.3 Zsun=0.006) is M_bh,max = 30 Msun. This is a rather striking finding as the mass of the most massive known stellar black hole is M_bh = 23-34 Msun and, in fact, it is located in a small star forming galaxy with moderate metallicity. We find that in the very low (globular cluster-like) metallicity environment the maximum black hole mass can be as high as M_bh,max = 80 Msun (Z=0.01 Zsun=0.0002). It is interesting to note that X-ray luminosity from Eddington limited accretion onto an 80 Msun black hole is of the order of about 10^40 erg/s and is comparable to luminosities of some known ULXs. We emphasize that our results were obtained for single stars only and that binary interactions may alter these maximum black hole masses (e.g., accretion from a close companion). This is strictly a proof-of-principle study which demonstrates that stellar models can naturally explain even the most massive known stellar black holes.

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The Total Merger Rate of Compact Object Binaries In The Local Universe

Using a population synthesis approach, we compute the total merger rate in the local Universe for double neutron stars, double black holes, and black hole -- neutron star binaries. These compact binaries are the prime source candidates for gravitational-wave detection by LIGO and VIRGO. We account for mergers originating from field populations and from dense stellar clusters. For both populations we use the same treatment of stellar evolution. Our results indicate that the merger rates of double neutron stars and black hole -- neutron star binaries are strongly dominated by field populations, while merging black hole binaries are formed much more effectively in dense stellar clusters. The overall merger rate of double compact objects depends sensitively on the (largely unknown) initial mass fraction contained in dense clusters f_cl. For f_cl < 0.0001, the Advanced LIGO detection rate will be dominated by field populations of double neutron star mergers, with a small but significant number of detections ~20 yr^-1. However for a higher mass fraction in clusters, f_cl > 0.001, the detection rate will be dominated by numerous mergers of double black holes originating from dense clusters, and it will be considerably higher, ~25 - 300 yr^-1. In addition, we show that, once mergers of double black holes are detected, it is easy to differentiate between systems formed in the field and in dense clusters, since the chirp mass distributions are strikingly different. Finally, we point out that there may exist a population of merging black hole binaries in intergalactic space.

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On the rarity of double black hole binaries: consequences for gravitational-wave detection

Double black hole binaries are among the most important sources of gravitational radiation for ground-based detectors such as LIGO or VIRGO. Even if formed with lower efficiency than double neutron star binaries, they could dominate the predicted detection rates, since black holes are more massive than neutron stars and therefore could be detected at greater distances. Here we discuss an evolutionary process that can very significantly limit the formation of close double black hole binaries: the vast majority of their potential progenitors undergo a common envelope (CE) phase while the donor, one of the massive binary components, is evolving through the Hertzsprung gap. Our latest theoretical understanding of the CE process suggests that this will probably lead to a merger, inhibiting double black hole formation. Barring uncertainties in the physics of CE evolution, we use population synthesis calculations, and find that the corresponding reduction in the merger rate of double black holes formed in galactic fields is so great (by ~500) that their contribution to inspiral detection rates for ground-based detectors could become relatively small (1 in 10) compared to double neutron star binaries. A similar process also reduces the merger rates for double neutron stars, by factor of ~5, eliminating most of the previously predicted ultracompact NS-NS systems. Our predicted detection rates for Advanced LIGO are now much lower for double black holes (~2/yr), but are still quite high for double neutron stars (~20/yr). If double black holes were found to be dominant in the detected inspiral signals, this could indicate that they mainly originate from dense star clusters (not included here) or that our theoretical understanding of the CE phase requires significant revision.

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The Lack of Gamma-Ray Bursts from Population III Binaries

We study the evolution of first star (Population III) binaries. Under specific conditions, these stars may produce high redshift gamma-ray bursts (GRBs). We demonstrate that the occurrence rate of GRBs does not depend sensitively on evolutionary parameters in the population synthesis models. We show that the first binaries may form a very small group (< 1%) of fast rotating stars through binary tidal interactions that make GRBs. This finding is contrary to the Bromm & Loeb assumption that all stars in close Population III binaries will be spun up by tides and produce a GRB. We find that there is simply not enough fast rotating stars in Population III binaries to expect detection with SWIFT. Predicted detection rates, even with very optimistic assumptions on binary fraction, evolutionary parameters and GRB detection, are very small: 0.1-0.01 per year.

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A Study of Compact Object Mergers as Short Gamma-ray Burst Progenitors

We present a theoretical study of double compact objects as potential short/hard gamma-ray burst (GRB) progenitors. An updated population synthesis code StarTrack is used to calculate properties of double neutron stars and black-hole neutron star binaries. We obtain their formation rates, estimate merger times and finally predict their most likely merger locations and afterglow properties for different types of host galaxies. Our results serve for a direct comparison with the recent HETE-II and SWIFT observations of several short bursts, for which afterglows and host galaxies were detected. We also discuss the possible constraints these observations put on the evolutionary models of double compact object formation. We emphasize that our double compact object models can successfully reproduce at the same time short GRBs within both young, star-forming galaxies (e.g., GRB 050709 and GRB 051221A), as well as within old, elliptical hosts (e.g., GRB 050724 and probably GRB 050509B)

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The statistics of Sco X-1 kHZ QPOs

Recently an additional technique was applied to investigate the properties of kHz QPOS, i.e. the analysis of the distribution of frequency ratios or frequencies themselves. I review the results of such work on the data from ScoX-1: Abramowicz et al. (2003), which was later criticized by Belloni et al.(2005). I conclude that the findings of the latter paper are consistent with results presented earlier: kHz QPOs cluster around the value corresponding to the frequency ratio of 2/3. I also discuss the random walk model of kHz QPOs and possible future observations needed to verify it.

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New constraints on SN Ia progenitor models

We use the StarTrack population synthesis code to discuss potential progenitor models of SN Ia: single degenerate scenario, semi-detached double white dwarf binary and double degenerate scenario. Using the most recent calculations of accretion onto white dwarfs, we consider SN Ia explosions of various white dwarfs in binary systems. We calculate the evolutionary delay times from the zero age main sequence to the explosion, and verify which scenarios can satisfy the constraints found by Strolger et al. (2004), i.e. a delay time of 2-4 Gyrs. It is found that the semi-detached double white dwarf binary model is inconsistent with observations. Only SN Ia progenitors in the double degenerate scenario are compatible with observations in all tested evolutionary models, with a characteristic delay time of about 3 Gyrs. If double degenerate mergers are excluded as SN Ia progenitors, we find that the single degenerate scenario may explain the observed delay times for models with low common envelope efficiency. It is also noted that the delay time distributions within the various tested SN Ia scenarios vary significantly and potentially can be used as an additional constraint on progenitor models.

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Radiation spectra and polarization in magnetar bursts

We present Monte Carlo simulations of radiative transfer in magnetar atmospheres. We include the effects of vacuum polarization, electron and proton scattering, and free-free absorption. Simulations are performed for the atmosphere model with the magnetic field perpendicular and also tilted with respect to the neutron star surface, and we show that the average spectrum does not strongly depend on the orientation of the magnetic field. We investigate the region of the parameter space where the vacuum absorption-like feature appears in the spectrum and we analyze the shape of the proton cyclotron line. Our results indicate that the existence of the vacuum polarization feature should be a general attribute of soft gamma-ray repeaters burst spectra, provided that the energy release takes place at the sufficiently dense region, and the atmosphere scaleheight is large enough. We discuss the existence of such a feature in recent observational data on these sources.

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First Stellar Binary Black Holes: Strongest Gravitational Wave Burst Sources

Evolution of first population of massive metal-free binary stars is followed. Due to the low metallicity, the stars are allowed to form with large initial masses and to evolve without significant mass loss. Evolution at zero metallicity, therefore, may lead to the formation of massive remnants. In particular, black holes of intermediate-mass (100-500 Msun) are expected to have formed in early Universe, in contrast to the much lower mass stellar black holes (10 Msun) being formed at present. Following a natural assumption, that some of these Population III stars have formed in binaries, the physical properties of first stellar binary black holes are presented. We find that a significant fraction of such binary black holes coalesces within the Hubble time. We point out that burst of gravitational waves from the final coalescences and the following ringdown of these binary black hole mergers can be observed in the interferometric detectors. We estimate that advanced LIGO detection rate of such mergers is at least several events per year with high signal to noise ratio (>10).

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On Radiation Drag and Neutrons in GRBs

As it was recently shown by Derishev etal (1999), initial GRB ejecta are likely to contain comparable number of protons and neutrons. During acceleration process, and/or later, due to interaction with external medium, such ejecta are likely to be split into spatially distinct shells of neutron and proton-electron plasmas. This leads to dynamical effects which can affect the afterglow light curves. In this paper we study these effects including, for the first time, radiation drag imposed on the neutron rich ejecta. In the presence of efficient radiation drag and for typical ejecta Lorentz factor (below 400), this is the neutron shell which moves faster and, after conversion to proton-electron plasma, powers the afterglow. After certain amount of deceleration, this shell is hit by the second one. Such collision will lead to reflaring, as observed in some afterglow light curves.

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Formation and Evolution of Microquasar GRS 1915+105

Using the StarTrack population synthesis code we analyze the possible formation channels of the Galactic microquasar GRS 1915+105 harboring the most massive known stellar black hole. We find that we are able to reproduce the evolution and the current state of GRS 1915+105 in a model with lowered wind mass loss rates in massive stars. We conclude that the existence of GRS 1915+105 implies that stellar winds in massive stars are a factor of two weaker, but still within observational bounds, than used in stellar models. We discuss the mass transfer initiated by the massive primary in binaries which are the possible precursors of systems harboring massive black holes. We show that such mass transfer evolution is neither clear case B nor C, but instead is initiated during the core helium burning phase of the massive donor star, the progenitor of the black hole. We also argue that massive black holes do not receive any kicks at their formation and are formed through direct collapse of progenitor star without accompanying supernova explosion.

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The dependence of observed gamma-ray pulsar spectra on viewing geometry

We calculate the gamma-ray lightcurves and spectra of rotation powered pulsars for a wide range of observer's viewing angles, and inclination angles of the magnetic axis to the rotation axis. We show how the shapes of the observed phase-averaged spectra as well as energy-integrated pulse profiles depend on the orientation for classical and millisecond pulsars.

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Merger Sites of Double Neutron Stars and their Host Galaxies

Using the StarTrack population synthesis code we analyze the formation channels possibly available to double neutron star binaries and find that they can be richer than previously thought. We identify a group of short lived, tight binaries, which do not live long enough to escape their host galaxies, despite their large center-of-mass velocities. We present our most recent results on all possible evolutionary paths leading to the formation of double neutron stars, calculate their coalescence rates, and also revisit the question of the distribution of merger sites around host galaxies. For a wide variety of binary evolution models and galaxy potentials, we find that most of neutron star mergers take place within galaxies. Our results stem from allowing for radial and common envelope evolution of helium-rich stars (testable in the future with detailed stellar-structure and hydrodynamic calculations) and indicate that double neutron star binaries may not be excluded as Gamma-Ray Burst (GRB) progenitors solely on the basis of their spatial distribution around host galaxies. We also find, in contrast to Bethe & Brown (1998), that in a significant fraction of common envelope (CE) phases neutron stars do not accrete enough material to become black holes, and thus the channels involving CEs are still open for the formation of double neutron stars.

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A Comprehensive Study of Binary Compact Objects as Gravitational Wave Sources: Evolutionary Channels, Rates, and Physical Properties

A new generation of ground-based interferometric detectors for gravitational waves is currently under construction or has entered the commissioning phase (LIGO, VIRGO, GEO600, TAMA). We study the most promising candidate sources for these detectors: inspiraling double compact objects. We use population synthesis methods to calculate the properties and coalescence rates of: double neutron stars, black hole-neutron star systems and double black holes. We also examine their formation channels. We explicitly account for the evolution of low-mass helium stars and investigate the possibility of common-envelope evolution involving helium stars as well as two evolved stars. As a result we identify a significant number of new formation channels for double neutron stars, in particular, leading to populations with very distinct properties. We discuss the theoretical and observational implications of such populations, but we also note the need for hydrodynamical calculations to settle the question of whether such common-envelope evolution is possible. We also present and discuss the physical properties of compact object binaries and identify a number of robust, qualitative features as well as their origin. Using the calculated coalescence rates we compare our results to earlier studies and derive expected detection rates for LIGO. We find that our most optimistic estimate for the first LIGO detectors reach a couple of events per year and our most pessimistic estimate for advanced LIGO detectors exceed 10 events per year.

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Population synthesis of compact objects: neutron stars, strange (quark) stars and black holes

We compute and present the distribution in mass of single and binary neutron stars, strange stars, and black holes. The calculations were performed using a stellar population synthesis code. We follow evolution of massive single stars as well as binaries with high mass primaries. The final product of the latter evolution can be either a binary composed of a white dwarf and a compact object (neutron star, black hole, strange star), two compact objects in a binary, or two single stars if the system was disrupted. We find in binaries a population of black holes which are more massive than single black holes which are a product of either binary or single evolution. We also find that if quark stars exist at all, their population can be as large as the population of black holes.

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Study of Gamma Ray Burst Binary Progenitors

Recently much work in studying Gamma-Ray Burst has been devoted to revealing the nature of outburst mechanism and studies of GRB afterglows. These issues have also been closely followed by the quest for identifying GRB progenitors. In this paper we consider the proposed binary star progenitors of GRBs: white dwarf neutron star binaries, white dwarf black hole binaries, helium core neutron star mergers, helium core black hole mergers, double neutron stars and neutron star black hole binaries. Using population synthesis methods we calculate merger rates of these binary progenitors and we compare them to the observed BATSE GRB rate. We also calculate the distribution of merger sites around host galaxies and compare them to the observed locations of GRB afterglows with respect to their hosts. We find that the rates of binary GRB progenitors in our standard model are lower than the observed GRB rates if GRBs are highly collimated. However, the uncertainty in the population synthesis results is too large to make this a firm conclusion. Although some observational signatures seem to point to collapsars as progenitors of long GRBs, we find that mergers of WD-NS, He-NS, He-BH, and NS-NS systems also trace the star formation regions of their host galaxies, as it is observed for long GRBs. We also speculate about possible progenitors of short-duration GRBs. For these, the most likely candidates are still mergers of compact objects. We find that the locations NS-NS and NS-BH mergers with respect to their hosts are significantly different. This may allow to distinguish between these two progenitor models, once current and near future missions, such as HETE-II or SWIFT, measure the locations of short GRBs.

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Population synthesis of neutron stars, strange (quark) stars and black holes

We compute and present the distribution in mass of single and binary neutron stars, strange stars, and black holes. The calculations were performed using a stellar population synthesis code. We follow all phases of single and binary evolution, starting from a ZAMS binary and ending in the creation of one compact object (neutron star, black hole, strange star) and a white dwarf, or two compact objects (single or binary). We assume that neutron stars are formed in the collapse of iron/nickel cores in the mass range M0 < M < M1, quark stars in the range M1 < M < M2, and black holes for core masses M > M2 and find that the population of quark stars can easily be as large as the population of black holes, even if there is only a small mass window for their formation.

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