Phys. Rev. D 56, 6458–6466 (1997)Entropy and topology for gravitational instantonsReceived 12 March 1997; published in the issue dated 15 November 1997 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=χA/8, is obtained. This formula provides the correct results for a wide class of gravitational instantons described by both spherically and axially symmetric metrics. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.56.6458
DOI:
10.1103/PhysRevD.56.6458
PACS:
04.70.Dy, 04.20.Gz, 04.62.+v
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