Periastron Advance in Spinning Black Hole Binaries: Gravitational Self-Force from Numerical Relativity
| Autor: | Tiec, Alexandre Le, Buonanno, Alessandra, Mroué, Abdul H., Pfeiffer, Harald P., Hemberger, Daniel A., Lovelace, Geoffrey, Kidder, Lawrence E., Scheel, Mark A., Szilágyi, Bela, Taylor, Nicholas W., Teukolsky, Saul A. |
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| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Phys.Rev.D88:124027,2013 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.88.124027 |
| Popis: | 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. D |
| Databáze: | arXiv |
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