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dc.contributor.author
Lima, J. A. S.
dc.contributor.author
Del Popolo, A.
dc.contributor.author
Plastino, Ángel Ricardo
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dc.date.available
2022-10-27T13:36:59Z
dc.date.issued
2019-11
dc.identifier.citation
Lima, J. A. S.; Del Popolo, A.; Plastino, Ángel Ricardo; Thermodynamic equilibrium in general relativity; American Physical Society; Physical Review D; 100; 10; 11-2019; 1-7
dc.identifier.issn
2470-0010
dc.identifier.uri
http://hdl.handle.net/11336/175160
dc.description.abstract
The thermodynamic equilibrium condition for a static self-gravitating fluid in the Einstein theory is defined by the Tolman-Ehrenfest temperature law, Tg00(xi)=constant, according to which the proper temperature depends explicitly on the position within the medium through the metric coefficient g00(xi). By assuming the validity of Tolman-Ehrenfest "pocket temperature," Klein also proved a similar relation for the chemical potential, namely, μg00(xi)=constant. In this paper we prove that a more general relation uniting both quantities holds regardless of the equation of state satisfied by the medium, and that the original Tolman-Ehrenfest law form is valid only if the chemical potential vanishes identically. In the general case of equilibrium, the temperature and the chemical potential are intertwined in such a way that only a definite (position dependent) relation uniting both quantities is obeyed. As an illustration of these results, the temperature expressions for an isothermal gas (finite spherical distribution) and a neutron star are also determined.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Physical Society
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Thermodynamic Equilibrium
dc.subject
General Relativity
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Tolman-Ehrenfest temperature
dc.subject.classification
Otras Ciencias Físicas
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Thermodynamic equilibrium in general relativity
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2022-10-27T10:19:23Z
dc.identifier.eissn
2470-0029
dc.journal.volume
100
dc.journal.number
10
dc.journal.pagination
1-7
dc.journal.pais
Estados Unidos
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dc.description.fil
Fil: Lima, J. A. S.. Universidade de Sao Paulo; Brasil
dc.description.fil
Fil: Del Popolo, A.. Università Degli Studi Di Catania; Italia
dc.description.fil
Fil: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Noroeste de la Provincia de Buenos Aires; Argentina
dc.journal.title
Physical Review D
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1103/PhysRevD.100.104042
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