Periastron Advance in Spinning Black Hole Binaries: Gravitational Self-Force from Numerical Relativity - INSPIRE

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Periastron Advance in Spinning Black Hole Binaries: Gravitational Self-Force from Numerical Relativity

Sep 2, 2013

18 pages

Published in:

Phys.Rev.D 88 (2013) 12, 124027

Published: Dec 9, 2013

e-Print:

1309.0541 [gr-qc]

DOI:

10.1103/PhysRevD.88.124027

View in:

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Abstract: (APS)

We study the general relativistic periastron advance in spinning black hole binaries on quasicircular orbits, with spins aligned or antialigned 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 nonspinning particle orbiting a Kerr black hole of mass M and spin S=-0.5M2, 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.

Note:

18 pages, 12 figures; matches version to appear in Phys. Rev. D

04.25.D-
04.25.dg
04.25.Nx
04.30.-w
black hole: binary
black hole: mass
black hole: Kerr
gravitation: self-force
black hole: spin
numerical calculations

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