Tidal interaction of a small black hole in the field of a large Kerr black hole

Details Tidal interaction of a small black hole in the field of a large Kerr black hole Tidal interaction of a small black hole in the field of a large Kerr black hole

2009-08-31

arxiv.org/abs/0908.4518v1

Phys.Rev.D80:087501,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 2 figures

Scientific paper

10.1103/PhysRevD.80.087501

The rates at which the mass and angular momentum of a small black hole change as a result of a tidal interaction with a much larger black hole are calculated to leading order in the small mass ratio. The small black hole is either rotating or nonrotating, and it moves on a circular orbit in the equatorial plane of the large Kerr black hole. The orbits are fully relativistic, and the rates are computed to all orders in the orbital velocity V < V_{isco}, which is limited only by the size of the innermost stable circular orbit. We show that as V \to V_{isco}, the rates take on a limiting value that depends only on V_{isco} and not on the spin parameter of the large black hole.

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