2,725 research outputs found
Dynamics and Interactions of Binaries and Neutron Stars in Globular Clusters
We model the dynamics of test binaries in isotropic, multi-mass models of
galactic globular clusters. The evolution of binary orbits through the cluster
potentials is modeled, including second order diffusion terms, and
probabilities for close encounters with field stars are calculated. We carry
out Monte Carlo simulations of the effects of the binary--single star
encounters on the binary population and distribution in the cluster, and
estimate the collision rate for different stellar populations in globular
clusters with different structural parameters. Assuming a Salpeter IMF, for low
concentration clusters the core encounter rate is dominated by turnoff mass
main--sequence stars and medium mass white dwarfs. For high concentration, high
density clusters the encounter probabilities are increasingly dominated by
neutron stars and heavy white dwarfs. Hence we predict a smaller ratio of blue
stragglers and cataclysmic variables to pulsars in high concentration clusters.
The total number of millisecond pulsars, and the ratio of single to binary
pulsars, is broadly consistent with the observed population, suggesting the
binary--single star encounters contribute significantly to the pulsar formation
rate in globular clusters, for the whole range of globular cluster types. The
number of millisecond pulsars and the ratio of pulsars in different globular
clusters is best explained by a total binary fraction comparable to that of the
galaxy, and a modest number of primordial neutron stars in the globular
clusters.Comment: 59 pages, uuencoded compressed postscript, including 18 figures.
Astrophysical Journal Supplements, in pres
Close Approach during Hard Binary--Binary Scattering
We report on an extensive series of numerical experiments of binary--binary
scattering, analysing the cross--section for close approach during interactions
for a range of hard binary parameters of interest in globular cluster cores. We
consider the implied rate for tidal interactions for different globular
clusters and compare our results with previous, complementary estimates of
stellar collision rates in globular clusters. We find that the collision rate
for binary--binary encounters dominates in low density clusters if the binary
fraction in the cluster is larger than for wide main--sequence binaries.
In dense clusters binary--single interactions dominate the collision rate and
the core binary fraction must be \ltorder 0.1 per decade in semi--major axis
or too many collisions take place compared to observations. The rates are
consistent if binaries with semi--major axes are overabundant in
low density clusters or if breakup and ejection substantially lowers the binary
fraction in denser clusters. Given reasonable assumptions about fractions of
binaries in the cores of low density clusters such as NGC~5053, we cannot
account for all the observed blue stragglers by stellar collisions during
binary encounters, suggesting a substantial fraction may be due to coalescence
of tight primordial binaries.Comment: 13 pages including 13 ps figures. MNRAS in pres
The orbital statistics of stellar inspiral and relaxation near a massive black hole: characterizing gravitational wave sources
We study the orbital parameters distribution of stars that are scattered into
nearly radial orbits and then spiral into a massive black hole (MBH) due to
dissipation, in particular by emission of gravitational waves (GW). This is
important for GW detection, e.g. by the Laser Interferometer Space Antenna
(LISA). Signal identification requires knowledge of the waveforms, which depend
on the orbital parameters. We use analytical and Monte Carlo methods to analyze
the interplay between GW dissipation and scattering in the presence of a mass
sink during the transition from the initial scattering-dominated phase to the
final dissipation-dominated phase of the inspiral. Our main results are (1)
Stars typically enter the GW-emitting phase with high eccentricities. (2) The
GW event rate per galaxy is a few per Gyr for typical central stellar cusps,
almost independently of the relaxation time or the MBH mass. (3) For
intermediate mass black holes (IBHs) of ~a thousand solar masses such as may
exist in dense stellar clusters, the orbits are very eccentric and the inspiral
is rapid, so the sources are very short-lived.Comment: ApJ Accepte
Transition from adiabatic inspiral to plunge into a spinning black hole
A test particle of mass mu on a bound geodesic of a Kerr black hole of mass M
>> mu will slowly inspiral as gravitational radiation extracts energy and
angular momentum from its orbit. This inspiral can be considered adiabatic when
the orbital period is much shorter than the timescale on which energy is
radiated, and quasi-circular when the radial velocity is much less than the
azimuthal velocity. Although the inspiral always remains adiabatic provided mu
<< M, the quasi-circular approximation breaks down as the particle approaches
the innermost stable circular orbit (ISCO). In this paper, we relax the
quasi-circular approximation and solve the radial equation of motion explicitly
near the ISCO. We use the requirement that the test particle's 4-velocity
remain properly normalized to calculate a new contribution to the difference
between its energy and angular momentum. This difference determines how a black
hole's spin changes following a test-particle merger, and can be extrapolated
to help predict the mass and spin of the final black hole produced in
finite-mass-ratio black-hole mergers. Our new contribution is particularly
important for nearly maximally spinning black holes, as it can affect whether a
merger produces a naked singularity.Comment: 9 pages, 6 figures, final version published in PRD with minor change
Resonant relaxation near a massive black hole: the stellar distribution and gravitational wave sources
Resonant relaxation (RR) of orbital angular momenta occurs near massive black
holes (MBHs) where the stellar orbits are nearly Keplerian and so do not
precess significantly. The resulting coherent torques efficiently change the
magnitude of the angular momenta and rotate the orbital inclination in all
directions. As a result, many of the tightly bound stars very near the MBH are
rapidly destroyed by falling into the MBH on low-angular momentum orbits, while
the orbits of the remaining stars are efficiently randomized. We solve
numerically the Fokker-Planck equation in energy for the steady state
distribution of a single mass population with a RR sink term. We find that the
steady state current of stars, which sustains the accelerated drainage close to
the MBH, can be up to ~10 times larger than that due to non-coherent 2-body
relaxation alone. RR mostly affects tightly bound stars, and so it increases
only moderately the total tidal disruption rate, which is dominated by stars
originating from less bound orbits farther away. We show that the event rate of
gravitational wave (GW) emission from inspiraling stars, originating much
closer to the MBH, is dominated by RR dynamics. The GW event rate depends on
the uncertain efficiency of RR. The efficiency indicated by the few available
simulations implies rates ~10 times higher than those predicted by 2-body
relaxation, which would improve the prospects of detecting such events by
future GW detectors, such as LISA. However, a higher, but still plausible RR
efficiency can lead to the drainage of all tightly bound stars and strong
suppression of GW events from inspiraling stars. We apply our results to the
Galactic MBH, and show that the observed dynamical properties of stars there
are consistent with RR.Comment: Accepted to ApJ; Minor revision
Gravitational radiation timescales for extreme mass ratio inspirals
The capture and inspiral of compact stellar masses into massive black holes
is an important source of low-frequency gravitational waves (with frequencies
of ~1-100mHz), such as those that might be detected by the planned Laser
Interferometer Space Antenna (LISA). Simulations of stellar clusters designed
to study this problem typically rely on simple treatments of the black hole
encounter which neglect some important features of orbits around black holes,
such as the minimum radii of stable, non-plunging orbits. Incorporating an
accurate representation of the orbital dynamics near a black hole has been
avoided due to the large computational overhead. This paper provides new, more
accurate, expressions for the energy and angular momentum lost by a compact
object during a parabolic encounter with a non-spinning black hole, and the
subsequent inspiral lifetime. These results improve on the Keplerian
expressions which are now commonly used and will allow efficient computational
simulations to be performed that account for the relativistic nature of the
spacetime around the central black hole in the system.Comment: 19 pages, 4 figures. Changed in response to referee's report.
Accepted for publication in Astrophysical Journa
Gravitational waves from stars orbiting the Sagittarius A* black hole
One of the main astrophysical processes leading to strong emission of
gravitational waves to be detected by the future space-borne interferometer
LISA is the capture of a compact star by a black hole with a mass of a few
million solar masses in the center of a galaxy. In previous studies, main
sequence stars were thought not to contribute because they suffer from early
tidal disruption. Here we show that, according to our simulations of the
stellar dynamics of the Sgr A* cluster, there must be one to a few low-mass
main sequence stars sufficiently bound to the central Galactic black hole to be
conspicuous sources in LISA observations. The probability that a white dwarf
may be detectable is lower than 0.5 and, in spite of mass segregation,
detection of a captured neutron star or stellar black hole in the center of the
Milky Way is highly unlikely.Comment: 5 pages, 3 figures, accepted for publication in ApJL, new version
shortened to fit in 4 journal pages. Slightly longer version available at
http://obswww.unige.ch/~freitag/papers/article_SgrA_long.ps.g
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