59 research outputs found
Dipolar Dark Matter and Dark Energy
In previous work [L. Blanchet and A. Le Tiec, Phys. Rev. D 78, 024031
(2008)], a model of dark matter and dark energy based on the concept of
gravitational polarization was investigated. This model was shown to recover
the concordance cosmological scenario (Lambda-CDM) at cosmological scales, and
the phenomenology of the modified Newtonian dynamics (MOND) at galactic scales.
In this article we prove that the model can be formulated with a simple and
physically meaningful matter action in general relativity. We also provide
alternative derivations of the main results of the model, and some details on
the variation of the action.Comment: 11 pages, 2 figures; minor stylistic corrections, added references,
added appendix; to appear in Phys. Rev.
Gravitational-Wave Recoil from the Ringdown Phase of Coalescing Black Hole Binaries
The gravitational recoil or "kick" of a black hole formed from the merger of
two orbiting black holes, and caused by the anisotropic emission of
gravitational radiation, is an astrophysically important phenomenon. We combine
(i) an earlier calculation, using post-Newtonian theory, of the kick velocity
accumulated up to the merger of two non-spinning black holes, (ii) a
"close-limit approximation" calculation of the radiation emitted during the
ringdown phase, and based on a solution of the Regge-Wheeler and Zerilli
equations using initial data accurate to second post-Newtonian order. We prove
that ringdown radiation produces a significant "anti-kick". Adding the
contributions due to inspiral, merger and ringdown phases, our results for the
net kick velocity agree with those from numerical relativity to 10-15 percent
over a wide range of mass ratios, with a maximum velocity of 180 km/s at a mass
ratio of 0.38.Comment: 9 pages, 5 figures; to appear in Class. Quant. Gra
Periastron Advance in Spinning Black Hole Binaries: Gravitational Self-Force from Numerical Relativity
We study the general relativistic periastron advance in spinning black hole
binaries on quasi-circular orbits, with spins aligned or anti-aligned with the
orbital angular momentum, using numerical-relativity simulations, the
post-Newtonian approximation, and black hole perturbation theory. By imposing a
symmetry by exchange of the bodies' labels, we devise an improved version of
the perturbative result, and use it as the leading term of a new type of
expansion in powers of the symmetric mass ratio. This allows us to measure, for
the first time, the gravitational self-force effect on the periastron advance
of a non-spinning particle orbiting a Kerr black hole of mass M and spin S =
-0.5 M^2, down to separations of order 9M. Comparing the predictions of our
improved perturbative expansion with the exact results from numerical
simulations of equal-mass and equal-spin binaries, we find a remarkable
agreement over a wide range of spins and orbital separations.Comment: 18 pages, 12 figures; matches version to appear in Phys. Rev.
Spin–orbit precession for eccentric black hole binaries at first order in the mass ratio
We consider spin–orbit ('geodetic') precession for a compact binary in strong-field gravity. Specifically, we compute ψ, the ratio of the accumulated spin-precession and orbital angles over one radial period, for a spinning compact body of mass m 1 and spin s 1, with , orbiting a non-rotating black hole. We show that ψ can be computed for eccentric orbits in both the gravitational self-force and post-Newtonian frameworks, and that the results appear to be consistent. We present a post-Newtonian expansion for ψ at next-to-next-to-leading order, and a Lorenz-gauge gravitational self-force calculation for ψ at first order in the mass ratio. The latter provides new numerical data in the strong-field regime to inform the effective one-body model of the gravitational two-body problem. We conclude that ψ complements the Detweiler redshift z as a key invariant quantity characterizing eccentric orbits in the gravitational two-body problem
Modeling Gravitational Recoil Using Numerical Relativity
We review the developments in modeling gravitational recoil from merging
black-hole binaries and introduce a new set of 20 simulations to test our
previously proposed empirical formula for the recoil. The configurations are
chosen to represent generic binaries with unequal masses and precessing spins.
Results of these simulations indicate that the recoil formula is accurate to
within a few km/s in the similar mass-ratio regime for the out-of-plane recoil.Comment: corrections to text, 11 pages, 1 figur
Model of Dark Matter and Dark Energy Based on Gravitational Polarization
A model of dark matter and dark energy based on the concept of gravitational
polarization is investigated. We propose an action in standard general
relativity for describing, at some effective or phenomenological level, the
dynamics of a dipolar medium, i.e. one endowed with a dipole moment vector, and
polarizable in a gravitational field. Using first-order cosmological
perturbations, we show that the dipolar fluid is undistinguishable from
standard dark energy (a cosmological constant Lambda) plus standard dark matter
(a pressureless perfect fluid), and therefore benefits from the successes of
the Lambda-CDM (Lambda-cold dark matter) scenario at cosmological scales.
Invoking an argument of "weak clusterisation" of the mass distribution of
dipole moments, we find that the dipolar dark matter reproduces the
phenomenology of the modified Newtonian dynamics (MOND) at galactic scales. The
dipolar medium action naturally contains a cosmological constant, and we show
that if the model is to come from some fundamental underlying physics, the
cosmological constant Lambda should be of the order of a0^2/c^4, where a0
denotes the MOND constant acceleration scale, in good agreement with
observations.Comment: 38 pages, 4 figures; to appear in Phys. Rev.
Periastron advance in spinning black hole binaries: Gravitational self-force from numerical relativity
Three little pieces for computer and relativity
Numerical relativity has made big strides over the last decade. A number of
problems that have plagued the field for years have now been mostly solved.
This progress has transformed numerical relativity into a powerful tool to
explore fundamental problems in physics and astrophysics, and I present here
three representative examples. These "three little pieces" reflect a personal
choice and describe work that I am particularly familiar with. However, many
more examples could be made.Comment: 42 pages, 11 figures. Plenary talk at "Relativity and Gravitation:
100 Years after Einstein in Prague", June 25 - 29, 2012, Prague, Czech
Republic. To appear in the Proceedings (Edition Open Access). Collects
results appeared in journal articles [72,73, 122-124
Research Update on Extreme-Mass-Ratio Inspirals
The inspirals of stellar-mass mass compact objects into massive black holes
in the centres of galaxies are one of the most important sources of
gravitational radiation for space-based detectors like LISA or eLISA. These
extreme-mass-ratio inspirals (EMRIs) will enable an ambitious research program
with implications for astrophysics, cosmology, and fundamental physics. This
article is a summary of the talks delivered at the plenary session on EMRIs at
the 10th International LISA Symposium. It contains research updates on the
following topics: astrophysics of EMRIs; EMRI science potential; and EMRI
modeling.Comment: 17 pages, no figures. Proceedings of the LISA Symposium X, to be
published at the Journal of Physic
Self-force: Computational Strategies
Building on substantial foundational progress in understanding the effect of
a small body's self-field on its own motion, the past 15 years has seen the
emergence of several strategies for explicitly computing self-field corrections
to the equations of motion of a small, point-like charge. These approaches
broadly fall into three categories: (i) mode-sum regularization, (ii) effective
source approaches and (iii) worldline convolution methods. This paper reviews
the various approaches and gives details of how each one is implemented in
practice, highlighting some of the key features in each case.Comment: Synchronized with final published version. Review to appear in
"Equations of Motion in Relativistic Gravity", published as part of the
Springer "Fundamental Theories of Physics" series. D. Puetzfeld et al.
(eds.), Equations of Motion in Relativistic Gravity, Fundamental Theories of
Physics 179, Springer, 201
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