Weak energy condition, trapped surfaces and black hole third law

Abstract We consider the third law of thermodynamics for families of 4- and n-dimensional Vaidya black holes, including many of interest. Since there are several versions of the definition of surface gravity as well as the extremality condition for dynamical black holes, we first show that for the c...

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Main Authors: F. Bahmani, F. Shojai, Sh. Anjomshoaa
Format: Article
Language:English
Published: SpringerOpen 2024-09-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-13318-z
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author F. Bahmani
F. Shojai
Sh. Anjomshoaa
author_facet F. Bahmani
F. Shojai
Sh. Anjomshoaa
author_sort F. Bahmani
collection DOAJ
description Abstract We consider the third law of thermodynamics for families of 4- and n-dimensional Vaidya black holes, including many of interest. Since there are several versions of the definition of surface gravity as well as the extremality condition for dynamical black holes, we first show that for the considered 4- and n-dimensional Vaidya families, these definitions are consistent with each other. We assume, first, that a non-extremal black hole evolves to an extremality state after a finite time and second, that the weak energy condition for the source holds at all times. We then compare the results of these assumptions and investigate whether there are ranges of black hole parameters where these two assumptions are in conflict.
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institution Kabale University
issn 1434-6052
language English
publishDate 2024-09-01
publisher SpringerOpen
record_format Article
series European Physical Journal C: Particles and Fields
spelling doaj-art-44afa767031041a9bfbe1fc64a30d6cb2024-11-17T12:44:32ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-09-0184911610.1140/epjc/s10052-024-13318-zWeak energy condition, trapped surfaces and black hole third lawF. Bahmani0F. Shojai1Sh. Anjomshoaa2Department of Physics, University of TehranDepartment of Physics, University of TehranDepartment of Physics, University of TehranAbstract We consider the third law of thermodynamics for families of 4- and n-dimensional Vaidya black holes, including many of interest. Since there are several versions of the definition of surface gravity as well as the extremality condition for dynamical black holes, we first show that for the considered 4- and n-dimensional Vaidya families, these definitions are consistent with each other. We assume, first, that a non-extremal black hole evolves to an extremality state after a finite time and second, that the weak energy condition for the source holds at all times. We then compare the results of these assumptions and investigate whether there are ranges of black hole parameters where these two assumptions are in conflict.https://doi.org/10.1140/epjc/s10052-024-13318-z
spellingShingle F. Bahmani
F. Shojai
Sh. Anjomshoaa
Weak energy condition, trapped surfaces and black hole third law
European Physical Journal C: Particles and Fields
title Weak energy condition, trapped surfaces and black hole third law
title_full Weak energy condition, trapped surfaces and black hole third law
title_fullStr Weak energy condition, trapped surfaces and black hole third law
title_full_unstemmed Weak energy condition, trapped surfaces and black hole third law
title_short Weak energy condition, trapped surfaces and black hole third law
title_sort weak energy condition trapped surfaces and black hole third law
url https://doi.org/10.1140/epjc/s10052-024-13318-z
work_keys_str_mv AT fbahmani weakenergyconditiontrappedsurfacesandblackholethirdlaw
AT fshojai weakenergyconditiontrappedsurfacesandblackholethirdlaw
AT shanjomshoaa weakenergyconditiontrappedsurfacesandblackholethirdlaw