Qualitative and quantitative features of orbits of massive particles and photons moving in wyman geometry

Detalhes bibliográficos
Autor(a) principal: Oliveira-Neto,G.
Data de Publicação: 2008
Outros Autores: Sousa,G. F.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Brazilian Journal of Physics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000500008
Resumo: The Wyman's solution depends on two parameters, the mass M and the scalar charge σ. If one fixes M to a positive value, say M0, and let σ2 take values along the real line it describes three different types of spacetimes. For σ2 > 0 the spacetimes are naked singularities, for σ2 = 0 one has the Schwarzschild black hole of mass M0 and finally for -M0² < σ2 < 0 one has wormhole spacetimes. In the present work, we shall study qualitative and quantitative features of orbits of massive particles and photons moving in the naked singularity and wormhole spacetimes of the Wyman solution. These orbits are the timelike geodesics for massive particles and null geodesics for photons. Combining the four geodesic equations with an additional equation derived from the line element, we obtain an effective potential for the massive particles and a different effective potential for the photons. We investigate all possible types of orbits, for massive particles and photons, by studying the appropriate effective potential. We notice that for certain naked singularities, there is an infinity potential wall that prevents both massive particles and photons ever to reach the naked singularity. We notice, also, that for certain wormholes, the potential is finite everywhere, which allows massive particles and photons moving from one wormhole asymptotically flat region to the other. We also compute the radial timelike and null geodesics for massive particles and photons, respectively, moving in the naked singularities and wormholes spacetimes.
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spelling Qualitative and quantitative features of orbits of massive particles and photons moving in wyman geometryWyman GeometryGeodesicsEffective PotentialNaked SingularitiesWormholesThe Wyman's solution depends on two parameters, the mass M and the scalar charge σ. If one fixes M to a positive value, say M0, and let σ2 take values along the real line it describes three different types of spacetimes. For σ2 > 0 the spacetimes are naked singularities, for σ2 = 0 one has the Schwarzschild black hole of mass M0 and finally for -M0² < σ2 < 0 one has wormhole spacetimes. In the present work, we shall study qualitative and quantitative features of orbits of massive particles and photons moving in the naked singularity and wormhole spacetimes of the Wyman solution. These orbits are the timelike geodesics for massive particles and null geodesics for photons. Combining the four geodesic equations with an additional equation derived from the line element, we obtain an effective potential for the massive particles and a different effective potential for the photons. We investigate all possible types of orbits, for massive particles and photons, by studying the appropriate effective potential. We notice that for certain naked singularities, there is an infinity potential wall that prevents both massive particles and photons ever to reach the naked singularity. We notice, also, that for certain wormholes, the potential is finite everywhere, which allows massive particles and photons moving from one wormhole asymptotically flat region to the other. We also compute the radial timelike and null geodesics for massive particles and photons, respectively, moving in the naked singularities and wormholes spacetimes.Sociedade Brasileira de Física2008-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000500008Brazilian Journal of Physics v.38 n.4 2008reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332008000500008info:eu-repo/semantics/openAccessOliveira-Neto,G.Sousa,G. F.eng2009-01-19T00:00:00Zoai:scielo:S0103-97332008000500008Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:2009-01-19T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Qualitative and quantitative features of orbits of massive particles and photons moving in wyman geometry
title Qualitative and quantitative features of orbits of massive particles and photons moving in wyman geometry
spellingShingle Qualitative and quantitative features of orbits of massive particles and photons moving in wyman geometry
Oliveira-Neto,G.
Wyman Geometry
Geodesics
Effective Potential
Naked Singularities
Wormholes
title_short Qualitative and quantitative features of orbits of massive particles and photons moving in wyman geometry
title_full Qualitative and quantitative features of orbits of massive particles and photons moving in wyman geometry
title_fullStr Qualitative and quantitative features of orbits of massive particles and photons moving in wyman geometry
title_full_unstemmed Qualitative and quantitative features of orbits of massive particles and photons moving in wyman geometry
title_sort Qualitative and quantitative features of orbits of massive particles and photons moving in wyman geometry
author Oliveira-Neto,G.
author_facet Oliveira-Neto,G.
Sousa,G. F.
author_role author
author2 Sousa,G. F.
author2_role author
dc.contributor.author.fl_str_mv Oliveira-Neto,G.
Sousa,G. F.
dc.subject.por.fl_str_mv Wyman Geometry
Geodesics
Effective Potential
Naked Singularities
Wormholes
topic Wyman Geometry
Geodesics
Effective Potential
Naked Singularities
Wormholes
description The Wyman's solution depends on two parameters, the mass M and the scalar charge σ. If one fixes M to a positive value, say M0, and let σ2 take values along the real line it describes three different types of spacetimes. For σ2 > 0 the spacetimes are naked singularities, for σ2 = 0 one has the Schwarzschild black hole of mass M0 and finally for -M0² < σ2 < 0 one has wormhole spacetimes. In the present work, we shall study qualitative and quantitative features of orbits of massive particles and photons moving in the naked singularity and wormhole spacetimes of the Wyman solution. These orbits are the timelike geodesics for massive particles and null geodesics for photons. Combining the four geodesic equations with an additional equation derived from the line element, we obtain an effective potential for the massive particles and a different effective potential for the photons. We investigate all possible types of orbits, for massive particles and photons, by studying the appropriate effective potential. We notice that for certain naked singularities, there is an infinity potential wall that prevents both massive particles and photons ever to reach the naked singularity. We notice, also, that for certain wormholes, the potential is finite everywhere, which allows massive particles and photons moving from one wormhole asymptotically flat region to the other. We also compute the radial timelike and null geodesics for massive particles and photons, respectively, moving in the naked singularities and wormholes spacetimes.
publishDate 2008
dc.date.none.fl_str_mv 2008-12-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000500008
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000500008
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-97332008000500008
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Brazilian Journal of Physics v.38 n.4 2008
reponame:Brazilian Journal of Physics
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Brazilian Journal of Physics
collection Brazilian Journal of Physics
repository.name.fl_str_mv Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br
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