The Topological Origin of Black Hole Entropy

dc.creatorWu, Zhong Chao
dc.date2000-08-22
dc.date.accessioned2026-07-07T03:25:13Z
dc.date.available2026-07-07T03:25:13Z
dc.descriptionIn gravitational thermodynamics, the origin of a black hole's entropy is the topology of its instanton or constrained instanton. We prove that the entropy of an arbitrary nonrotating black hole is one quarter the sum of the products of the Euler characteristics of its horizons with their respective areas. The Gauss-Bonnet-like form of the action is not only crucial for the evaluation, but also for the existence of the entropy. This result covers all previous results on the entropy of a nonrotating black hole with a regular instanton. The argument can be readily extended into the lower or higher dimensional model. The problem of quantum creation of such a black hole is completely resolved.
dc.description7 pages, received honorable mention from GRF2000
dc.identifierhttps://arxiv.org/abs/gr-qc/0008056
dc.identifierhttp://arxiv.org/abs/gr-qc/0008056
dc.identifierInt.J.Mod.Phys. D9 (2000) 711-716
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33624
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleThe Topological Origin of Black Hole Entropy
dc.typetext

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