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 (10)

• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Quantum Geometry and Black Hole Entropy
• On Black Hole Entropy
• Entropy of Lovelock Black Holes
• Black hole entropy from Quantum Geometry
• Isolated Horizons: Hamiltonian Evolution and the First Law
• Thermodynamics of (3+1)-dimensional black holes with toroidal or higher genus horizons
• Conserved charges for gravity with locally AdS asymptotics
• Isolated horizons in higher-dimensional Einstein-Gauss-Bonnet gravity

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