Head-on collision and merging entropy of black holes: reconsideration of Hawking's inequality

Details Head-on collision and merging entropy of black holes: reconsideration of Hawking's inequality Head-on collision and merging entropy of black holes: reconsideration of Hawking's inequality

2009-09-26

arxiv.org/abs/0909.4827v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11pages, 5figures

Scientific paper

We evaluate how much energy can be converted into gravitational radiation in head-on collision of black holes. We estimate it by the area theorem of black hole horizon incorporating merging entropy of colliding black holes from a viewpoint of black hole thermodynamics. Then we obtain an upper bound of energy rate of the gravitational radiation which is smaller than the upper bound originally derived by Hawking. The estimation correctly predicts the results of both numerical investigations in low- and high-energy head-on collision.

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