Entropy of a Black Hole with Distinct Surface Gravities

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dc.creatorWu, Zhong Chao
dc.date1999-11-22
dc.date1999-11-30
dc.date.accessioned2026-07-07T03:33:43Z
dc.date.available2026-07-07T03:33:43Z
dc.descriptionIn gravitational thermodynamics, the entropy of a black hole with distinct surface gravities can be evaluated in a microcanonical ensemble. At the $WKB$ level, the entropy becomes the negative of the Euclidean action of the constrained instanton, which is the seed for the black hole creation in the no-boundary universe. Using the Gauss-Bonnet theorem, we prove the quite universal formula in Euclidean quantum gravity that the entropy of a nonrotating black hole is one quarter the sum of the products of the Euler characteristics and the areas of the horizons. For Lovelock gravity, the entropy and quantum creation of a black hole are also studied.
dc.descriptionMinor corrections
dc.identifierhttps://arxiv.org/abs/gr-qc/9911078
dc.identifierhttp://arxiv.org/abs/gr-qc/9911078
dc.identifierGen.Rel.Grav. 32 (2000) 1823-1833
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/36685
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleEntropy of a Black Hole with Distinct Surface Gravities
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