Topological deformation of isolated horizons

Details Topological deformation of isolated horizons Topological deformation of isolated horizons

2007-05-10

arxiv.org/abs/0705.1518v6

Phys.Rev.D77:064004,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages; 1 figure; v2: 9 pages; some comments added at the end; 3 references added; v3: minor corrections; v4: some correction

Scientific paper

10.1103/PhysRevD.77.064004

We show that the Gauss-Bonnet term can have physical effects in four dimensions. Specifically, the entropy of a black hole acquires a correction that is proportional to the Euler characteristic of the cross sections of the horizon. While this term is constant for a single black hole, it will be a non-trivial function for a system with dynamical topologies such as black-hole mergers: it is shown that for certain values of the GB parameter, the second law of black-hole mechanics can be violated.

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