Qualitative and quantitative features of orbits of massive particles and photons moving in wyman geometry
Autor(a) principal: | |
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Data de Publicação: | 2008 |
Outros Autores: | |
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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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 |
_version_ |
1754734864758734848 |