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arXiv · 0705.1518

Topological deformation of isolated horizons

Tomas Liko
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Abstract

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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Tomas Liko. 2008-03-05. Topological deformation of isolated horizons. https://doi.org/10.1103/physrevd.77.064004

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