Stationary axially symmetric relativistic thin discs with nonzero radial pressure

A detailed analysis of the surface energymomentum (SEMT) tensor of stationary axially symmetric relativistic thin discs with nonzero radial pressure is presented. The physical content of the SEMT is analysed and expressions for the velocity vector, energy density, principal stresses and heat flow ar...

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2012
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Universidad Tecnológica de Bolívar
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Repositorio Institucional UTB
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eng
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oai:repositorio.utb.edu.co:20.500.12585/9098
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https://hdl.handle.net/20.500.12585/9098
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network_acronym_str UTB2
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repository_id_str
dc.title.none.fl_str_mv Stationary axially symmetric relativistic thin discs with nonzero radial pressure
title Stationary axially symmetric relativistic thin discs with nonzero radial pressure
spellingShingle Stationary axially symmetric relativistic thin discs with nonzero radial pressure
title_short Stationary axially symmetric relativistic thin discs with nonzero radial pressure
title_full Stationary axially symmetric relativistic thin discs with nonzero radial pressure
title_fullStr Stationary axially symmetric relativistic thin discs with nonzero radial pressure
title_full_unstemmed Stationary axially symmetric relativistic thin discs with nonzero radial pressure
title_sort Stationary axially symmetric relativistic thin discs with nonzero radial pressure
description A detailed analysis of the surface energymomentum (SEMT) tensor of stationary axially symmetric relativistic thin discs with nonzero radial pressure is presented. The physical content of the SEMT is analysed and expressions for the velocity vector, energy density, principal stresses and heat flow are obtained. We also present the counter-rotating model interpretation for these discs by considering the SEMT as the superposition of two counter-rotating perfect fluids. We analyse the possibility of counter-rotation along geodesics as well as counter-rotation with equal and opposite tangential velocities, and explicit expressions for the velocities are obtained in both the cases. By assuming a given choice for the counter-rotating velocities, explicit expressions for the energy densities and pressures of the counter-rotating fluids are then obtained. Some simple thin disc models obtained from the Kerr solution are also presented. © 2012 IOP Publishing Ltd.
publishDate 2012
dc.date.issued.none.fl_str_mv 2012
dc.date.accessioned.none.fl_str_mv 2020-03-26T16:32:56Z
dc.date.available.none.fl_str_mv 2020-03-26T16:32:56Z
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dc.type.driver.none.fl_str_mv info:eu-repo/semantics/article
dc.type.hasVersion.none.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.spa.none.fl_str_mv Artículo
status_str publishedVersion
dc.identifier.citation.none.fl_str_mv Classical and Quantum Gravity; Vol. 29, Núm. 13
dc.identifier.issn.none.fl_str_mv 02649381
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12585/9098
dc.identifier.doi.none.fl_str_mv 10.1088/0264-9381/29/13/135001
dc.identifier.instname.none.fl_str_mv Universidad Tecnológica de Bolívar
dc.identifier.reponame.none.fl_str_mv Repositorio UTB
dc.identifier.orcid.none.fl_str_mv 7202571265
25225467000
identifier_str_mv Classical and Quantum Gravity; Vol. 29, Núm. 13
02649381
10.1088/0264-9381/29/13/135001
Universidad Tecnológica de Bolívar
Repositorio UTB
7202571265
25225467000
url https://hdl.handle.net/20.500.12585/9098
dc.language.iso.none.fl_str_mv eng
language eng
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dc.rights.cc.none.fl_str_mv Atribución-NoComercial 4.0 Internacional
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dc.format.medium.none.fl_str_mv Recurso electrónico
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spelling 2020-03-26T16:32:56Z2020-03-26T16:32:56Z2012Classical and Quantum Gravity; Vol. 29, Núm. 1302649381https://hdl.handle.net/20.500.12585/909810.1088/0264-9381/29/13/135001Universidad Tecnológica de BolívarRepositorio UTB720257126525225467000A detailed analysis of the surface energymomentum (SEMT) tensor of stationary axially symmetric relativistic thin discs with nonzero radial pressure is presented. The physical content of the SEMT is analysed and expressions for the velocity vector, energy density, principal stresses and heat flow are obtained. We also present the counter-rotating model interpretation for these discs by considering the SEMT as the superposition of two counter-rotating perfect fluids. We analyse the possibility of counter-rotation along geodesics as well as counter-rotation with equal and opposite tangential velocities, and explicit expressions for the velocities are obtained in both the cases. By assuming a given choice for the counter-rotating velocities, explicit expressions for the energy densities and pressures of the counter-rotating fluids are then obtained. Some simple thin disc models obtained from the Kerr solution are also presented. © 2012 IOP Publishing Ltd.Recurso electrónicoapplication/pdfenghttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/restrictedAccessAtribución-NoComercial 4.0 Internacionalhttp://purl.org/coar/access_right/c_16echttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84862293709&doi=10.1088%2f0264-9381%2f29%2f13%2f135001&partnerID=40&md5=ce96b9804adc34d97a808903890ab4b0Stationary axially symmetric relativistic thin discs with nonzero radial pressureinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1González G.A.Gutiérrez-Piñeres A.C.Bonnor, W.A., Sackfield, A., (1968) Commun. Math. 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