Violation of the third law of black hole thermodynamics in higher curvature gravity
type: Item
instance of: scholarly article
title: Violation of the third law of black hole thermodynamics in higher curvature gravity
zbMATH Open document ID: 1297.83022
author: Takashi Torii
published in: Entropy
publication date: 2014-09-08T00:00:00Z
review text: Summary: We examine the weak version of the third law of black hole thermodynamics in the \(n\)-dimensional Einstein-Gauss-Bonnet system with a negative cosmological constant. To see whether the extreme black hole solution with zero temperature is formed, we investigate the motion of the thin shell that has the equal mass to the extreme black hole in the background described by the non-GR branch solutions. The interior of the shell is empty. Our analysis using the generalized Israel's junction condition shows that the shell can contract beyond a certain radius and the degenerate horizon is formed for same range of parameters. Hence, this model can be a counterexample of the third law.
Mathematics Subject Classification ID: 83C57
Mathematics Subject Classification ID: 85A25
Mathematics Subject Classification ID: 80A10
Mathematics Subject Classification ID: 83D05
Mathematics Subject Classification ID: 83F05
Mathematics Subject Classification ID: 83C15
zbMATH DE Number: 6341062
zbMATH Keywords: black holes
zbMATH Keywords: thermodynamics
zbMATH Keywords: modified gravity
zbMATH Keywords: Einstein-Gauss-Bonnet system
zbMATH Keywords: negative cosmological constant
zbMATH Keywords: extreme black hole solution
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3390/e14112291
OpenAlex ID: W1987380182
Wikidata QID: Q125939946
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DOI: 10.3390/E14112291
description: scientific article; zbMATH DE number 6341062