Exact Solutions for the Intrinsic Geometry of Black Hole Coalescence

Details Exact Solutions for the Intrinsic Geometry of Black Hole Coalescence Exact Solutions for the Intrinsic Geometry of Black Hole Coalescence

1998-09-08

arxiv.org/abs/gr-qc/9809034v2

Phys.Rev. D60 (1999) 044005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, 6 figures, revtex, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.60.044005

We describe the null geometry of a multiple black hole event horizon in terms of a conformal rescaling of a flat space null hypersurface. For the prolate spheroidal case, we show that the method reproduces the pair-of-pants shaped horizon found in the numerical simulation of the head-on-collision of black holes. For the oblate case, it reproduces the initially toroidal event horizon found in the numerical simulation of collapse of a rotating cluster. The analytic nature of the approach makes further conclusions possible, such as a bearing on the hoop conjecture. From a time reversed point of view, the approach yields a description of the past event horizon of a fissioning white hole, which can be used as null data for the characteristic evolution of the exterior space-time.

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