Topological deformation of isolated horizons

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.

8 pages; 1 figure; v2: 9 pages; some comments added at the end; 3 references added; v3: minor corrections; v4: some corrections; discussion added on black-hole mergers and violations of the second law; 2 references added; v5: minor corrections; v6: final corrections to match PRD version

References in corpus (1)

• Isolated horizons in higher-dimensional Einstein-Gauss-Bonnet gravity

Cited by in corpus (6)

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• Isolated horizons in higher-dimensional Einstein-Gauss-Bonnet gravity
• Developments in Black Hole Research: Classical, Semi-classical, and Quantum
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• Extending the isolated horizon phase space to string-inspired gravity models