Binary-induced collapse of a compact, collisionless cluster

Details Binary-induced collapse of a compact, collisionless cluster Binary-induced collapse of a compact, collisionless cluster

1999-04-05

arxiv.org/abs/gr-qc/9904011v2

Phys.Rev. D60 (1999) 104024

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 Latex pages, 14 postscript figures

Scientific paper

10.1103/PhysRevD.60.104024

We improve and extend Shapiro's model of a relativistic, compact object which is stable in isolation but is driven dynamically unstable by the tidal field of a binary companion. Our compact object consists of a dense swarm of test particles moving in randomly-oriented, initially circular, relativistic orbits about a nonrotating black hole. The binary companion is a distant, slowly inspiraling point mass. The tidal field of the companion is treated as a small perturbation on the background Schwarzschild geometry near the hole; the resulting metric is determined by solving the perturbation equations of Regge and Wheeler and Zerilli in the quasi-static limit. The perturbed spacetime supports Bekenstein's conjecture that the horizon area of a near-equilibrium black hole is an adiabatic invariant. We follow the evolution of the system and confirm that gravitational collapse can be induced in a compact collisionless cluster by the tidal field of a binary companion.

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