Entropy and topology for gravitational instantons

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 t...

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Detalles Bibliográficos
Autores principales: Liberati, Stefano, Pollifrone, Giuseppe
Lenguaje:eng
Publicado: 1997
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.56.6458
http://cds.cern.ch/record/331429
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author Liberati, Stefano
Pollifrone, Giuseppe
author_facet Liberati, Stefano
Pollifrone, Giuseppe
author_sort Liberati, Stefano
collection CERN
description 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.
id cern-331429
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1997
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spelling cern-3314292023-03-14T16:36:04Zdoi:10.1103/PhysRevD.56.6458http://cds.cern.ch/record/331429engLiberati, StefanoPollifrone, GiuseppeEntropy and topology for gravitational instantonsParticle Physics - TheoryIn 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.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.hep-th/9708014CERN-TH-97-116CERN-TH-97-116oai:cds.cern.ch:3314291997-08-05
spellingShingle Particle Physics - Theory
Liberati, Stefano
Pollifrone, Giuseppe
Entropy and topology for gravitational instantons
title Entropy and topology for gravitational instantons
title_full Entropy and topology for gravitational instantons
title_fullStr Entropy and topology for gravitational instantons
title_full_unstemmed Entropy and topology for gravitational instantons
title_short Entropy and topology for gravitational instantons
title_sort entropy and topology for gravitational instantons
topic Particle Physics - Theory
url https://dx.doi.org/10.1103/PhysRevD.56.6458
http://cds.cern.ch/record/331429
work_keys_str_mv AT liberatistefano entropyandtopologyforgravitationalinstantons
AT pollifronegiuseppe entropyandtopologyforgravitationalinstantons

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