Quasi-circular Orbits for Spinning Binary Black Holes

Details Quasi-circular Orbits for Spinning Binary Black Holes Quasi-circular Orbits for Spinning Binary Black Holes

2000-06-22

arxiv.org/abs/gr-qc/0006084v1

Phys.Rev.D62:104018,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 10 figures, submitted to PRD

Scientific paper

10.1103/PhysRevD.62.104018

Using an effective potential method we examine binary black holes where the individual holes carry spin. We trace out sequences of quasi-circular orbits and locate the innermost stable circular orbit as a function of spin. At large separations, the sequences of quasi-circular orbits match well with post-Newtonian expansions, although a clear signature of the simplifying assumption of conformal flatness is seen. The position of the ISCO is found to be strongly dependent on the magnitude of the spin on each black hole. At close separations of the holes, the effective potential method breaks down. In all cases where an ISCO could be determined, we found that an apparent horizon encompassing both holes forms for separations well inside the ISCO. Nevertheless, we argue that the formation of a common horizon is still associated with the breakdown of the effective potential method.

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