{"title":"Generalized entropy in higher curvature gravity","authors":"Vardarajan Suneeta","doi":"10.1007/s10714-024-03280-2","DOIUrl":null,"url":null,"abstract":"<div><p>Chandrasekaran, Penington and Witten (CPW) used the crossed product construction in modular theory to associate an entropy with the algebra of observables in the Schwarzschild black hole exterior. This entropy was shown to equal the generalized entropy modulo a constant. They also proved a version of the generalized second law (GSL) in Einstein gravity. We summarize these developments and our generalization of these results to static black holes in an arbitrary diffeomorphism invariant theory of gravity [1] — this article is a summary of that work and is based on a talk at the QGatRRI conference in Sep.2023. The algebra entropy again equals the generalized entropy modulo a constant where the generalized entropy now contains the Wald entropy. A version of the GSL follows by employing the arguments of CPW to this case.\n</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"56 8","pages":""},"PeriodicalIF":2.1000,"publicationDate":"2024-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"General Relativity and Gravitation","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10714-024-03280-2","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract
Chandrasekaran, Penington and Witten (CPW) used the crossed product construction in modular theory to associate an entropy with the algebra of observables in the Schwarzschild black hole exterior. This entropy was shown to equal the generalized entropy modulo a constant. They also proved a version of the generalized second law (GSL) in Einstein gravity. We summarize these developments and our generalization of these results to static black holes in an arbitrary diffeomorphism invariant theory of gravity [1] — this article is a summary of that work and is based on a talk at the QGatRRI conference in Sep.2023. The algebra entropy again equals the generalized entropy modulo a constant where the generalized entropy now contains the Wald entropy. A version of the GSL follows by employing the arguments of CPW to this case.
期刊介绍：
General Relativity and Gravitation is a journal devoted to all aspects of modern gravitational science, and published under the auspices of the International Society on General Relativity and Gravitation.
It welcomes in particular original articles on the following topics of current research:
Analytical general relativity, including its interface with geometrical analysis
Numerical relativity
Theoretical and observational cosmology
Relativistic astrophysics
Gravitational waves: data analysis, astrophysical sources and detector science
Extensions of general relativity
Supergravity
Gravitational aspects of string theory and its extensions
Quantum gravity: canonical approaches, in particular loop quantum gravity, and path integral approaches, in particular spin foams, Regge calculus and dynamical triangulations
Quantum field theory in curved spacetime
Non-commutative geometry and gravitation
Experimental gravity, in particular tests of general relativity
The journal publishes articles on all theoretical and experimental aspects of modern general relativity and gravitation, as well as book reviews and historical articles of special interest.
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