Hoop conjecture for colliding black holes : non-time-symmetric initial data

Details Hoop conjecture for colliding black holes : non-time-symmetric initial data Hoop conjecture for colliding black holes : non-time-symmetric initial data

2001-09-05

arxiv.org/abs/gr-qc/0109016v1

Phys.Rev. D65 (2002) 064034

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15pages, 4 figures

Scientific paper

10.1103/PhysRevD.65.064034

The hoop conjecture is well confirmed in momentarily static spaces, but it has not been investigated systematically for the system with relativistic motion. To confirm the hoop conjecture for non-time-symmetric initial data, we consider the initial data of two colliding black holes with momentum and search an apparent horizon that encloses two black holes. In testing the hoop conjecture, we use two definitions of gravitational mass : one is the ADM mass and the other is the quasi-local mass defined by Hawking. Although both definitions of gravitational mass give fairly consistent picture of the hoop conjecture, the hoop conjecture with the Hawking mass can judge the existence of an apparent horizon for wider range of parameters of the initial data compared to the ADM mass.

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