Schwarzschild geometry counterpart in semiclassical gravity

We investigate the effects of vacuum polarization on vacuum static spherically symmetric spacetimes. We start from the Polyakov approximation to the renormalized stress-energy tensor (RSET) of a minimally coupled massless scalar field. This RSET is not regular at r=0, so we define a regularized vers...

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Autores: Arrechea, Julio, Barceló, Carlos, Carballo Rubio, Raúl, Garay, Luis Javier
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/213566
Acceso en línea:http://hdl.handle.net/10261/213566
Access Level:acceso abierto
Palabra clave:General Relativity and Quantum Cosmology
High Energy Physics - Theory
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spelling Schwarzschild geometry counterpart in semiclassical gravityArrechea, JulioBarceló, CarlosCarballo Rubio, RaúlGaray, Luis JavierGeneral Relativity and Quantum CosmologyHigh Energy Physics - TheoryWe investigate the effects of vacuum polarization on vacuum static spherically symmetric spacetimes. We start from the Polyakov approximation to the renormalized stress-energy tensor (RSET) of a minimally coupled massless scalar field. This RSET is not regular at r=0, so we define a regularized version of the Polyakov RSET. Using this regularized RSET, and under the previous symmetry assumptions, we find all the solutions to the semiclassical field equations in vacuum. The resulting counterpart to the Schwarzschild classical geometry substitutes the presence of an event horizon by a wormhole throat that connects an external asymptotically flat region with an internal asymptotic region possessing a naked singularity: there are no semiclassical vacuum solutions with well-defined Cauchy surfaces. We also show that the regularized Polyakov RSET allows for wormhole geometries of arbitrarily small throat radius. This analysis paves the way to future investigations of proper stellar configurations with an internal nonvacuum region. © 2020 American Physical Society.Financial support was provided by the Spanish Government through Projects No. FIS2017-86497-C2-1-P, No. FIS2017-86497-C2-2-P (with FEDER contribution), and No. FIS2016-78859-P (AEI/FEDER,UE) and by the Junta de Andalucía through Project No. FQM219. C. B. and J. A. acknowledge financial support from the State Agency for Research of the Spanish MCIU through the “Center of Excellence Severo Ochoa” award to the Instituto de Astrofísica de Andalucía (Grant No. SEV-2017-0709). R. C. R. acknowledges support from the Preeminent Postdoctoral Program ( P 3 ) at UCF.Peer reviewedAmerican Physical SocietyMinisterio de Ciencia e Innovación (España)European CommissionAgencia Estatal de Investigación (España)Junta de AndalucíaConsejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202020202020info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10261/213566reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/FIS2017-86497-C2-1-Pinfo:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/FIS2017-86497-C2-2-Pinfo:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/FIS2016-78859-Pinfo:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/SEV-2017-0709http://dx.doi.org/10.1103/PhysRevD.101.064059Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/2135662026-05-22T06:33:51Z
dc.title.none.fl_str_mv Schwarzschild geometry counterpart in semiclassical gravity
title Schwarzschild geometry counterpart in semiclassical gravity
spellingShingle Schwarzschild geometry counterpart in semiclassical gravity
Arrechea, Julio
General Relativity and Quantum Cosmology
High Energy Physics - Theory
title_short Schwarzschild geometry counterpart in semiclassical gravity
title_full Schwarzschild geometry counterpart in semiclassical gravity
title_fullStr Schwarzschild geometry counterpart in semiclassical gravity
title_full_unstemmed Schwarzschild geometry counterpart in semiclassical gravity
title_sort Schwarzschild geometry counterpart in semiclassical gravity
dc.creator.none.fl_str_mv Arrechea, Julio
Barceló, Carlos
Carballo Rubio, Raúl
Garay, Luis Javier
author Arrechea, Julio
author_facet Arrechea, Julio
Barceló, Carlos
Carballo Rubio, Raúl
Garay, Luis Javier
author_role author
author2 Barceló, Carlos
Carballo Rubio, Raúl
Garay, Luis Javier
author2_role author
author
author
dc.contributor.none.fl_str_mv Ministerio de Ciencia e Innovación (España)
European Commission
Agencia Estatal de Investigación (España)
Junta de Andalucía
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv General Relativity and Quantum Cosmology
High Energy Physics - Theory
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
description We investigate the effects of vacuum polarization on vacuum static spherically symmetric spacetimes. We start from the Polyakov approximation to the renormalized stress-energy tensor (RSET) of a minimally coupled massless scalar field. This RSET is not regular at r=0, so we define a regularized version of the Polyakov RSET. Using this regularized RSET, and under the previous symmetry assumptions, we find all the solutions to the semiclassical field equations in vacuum. The resulting counterpart to the Schwarzschild classical geometry substitutes the presence of an event horizon by a wormhole throat that connects an external asymptotically flat region with an internal asymptotic region possessing a naked singularity: there are no semiclassical vacuum solutions with well-defined Cauchy surfaces. We also show that the regularized Polyakov RSET allows for wormhole geometries of arbitrarily small throat radius. This analysis paves the way to future investigations of proper stellar configurations with an internal nonvacuum region. © 2020 American Physical Society.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020
2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Publisher's version
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/213566
url http://hdl.handle.net/10261/213566
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv #PLACEHOLDER_PARENT_METADATA_VALUE#
#PLACEHOLDER_PARENT_METADATA_VALUE#
#PLACEHOLDER_PARENT_METADATA_VALUE#
#PLACEHOLDER_PARENT_METADATA_VALUE#
info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/FIS2017-86497-C2-1-P
info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/FIS2017-86497-C2-2-P
info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/FIS2016-78859-P
info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/SEV-2017-0709
http://dx.doi.org/10.1103/PhysRevD.101.064059
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
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