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Entropy and Topology for Gravitational Instantons
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abstract
In this work a relation between topology and thermodynamical features of gravitational instantons is shown. The expression for the Euler characteristic, through the Gauss-Bonnet integral, and the one for the entropy of gravitational instantons are proposed in a form that makes the relation between them self-evident. A new formulation of the Bekenstein-Hawking formula, where the entropy and the Euler characteristic are related by $S=\chi A/8$, is obtained. This formula provides the correct results for a wide class of gravitational instantons described by both spherically and axially symmetric metrics.
Forward citations
Cited by 2 Pith papers
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Kerroll black holes
Rotating black holes are constructed in magnetic Carroll gravity, including an intrinsically Carrollian dressed solution and a Kerroll black hole from an odd-power c-expansion of GR, with conserved charges computed.
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Black hole thermodynamics and topology
The author derives S_RN = 4πM^2 for Reissner-Nordström black holes by adding the inverse temperatures of both horizons, contradicting the standard area law.
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