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Topological deformation of isolated horizons
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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.
Forward citations
Cited by 2 Pith papers
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Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach
Black hole formation and merger, through topology changes of the cosmic apparent horizon, generate an effective dark energy whose equation of state is phantom-like or quintessence-like depending on the sign of the Gau...
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