Notes on the quantization of FRW model in the presence of a cosmological constant and radiation
Autor(a) principal: | |
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Data de Publicação: | 2005 |
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=S0103-97332005000700024 |
Resumo: | In the present work, we use the formalism of quantum general relativity in order to quantize a Friedmann-Robertson-Walker model in the presence of a negative cosmological constant and radiation. The model has spatial sections with positive constant curvature. The wave-function of the model satisfies a Wheeler-DeWitt equation, for the scale factor, which has the form of the Schrödinger's equation for the quartic anharmonic oscillator. We find the eigenvalues and eigenfunctions by using a method first developed by Chhajlany and Malnev. After that, we use the eigenfunctions in order to construct wave-packets for evaluating the time-dependent, expected value of the scale factor. We find that, the expected value of the scale factor oscillates between maximum and minimum values. Since the scale factor never vanishes, we conclude that the model does not have a singularity. |
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Brazilian Journal of Physics |
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Notes on the quantization of FRW model in the presence of a cosmological constant and radiationIn the present work, we use the formalism of quantum general relativity in order to quantize a Friedmann-Robertson-Walker model in the presence of a negative cosmological constant and radiation. The model has spatial sections with positive constant curvature. The wave-function of the model satisfies a Wheeler-DeWitt equation, for the scale factor, which has the form of the Schrödinger's equation for the quartic anharmonic oscillator. We find the eigenvalues and eigenfunctions by using a method first developed by Chhajlany and Malnev. After that, we use the eigenfunctions in order to construct wave-packets for evaluating the time-dependent, expected value of the scale factor. We find that, the expected value of the scale factor oscillates between maximum and minimum values. Since the scale factor never vanishes, we conclude that the model does not have a singularity.Sociedade Brasileira de Física2005-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332005000700024Brazilian Journal of Physics v.35 n.4b 2005reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332005000700024info:eu-repo/semantics/openAccessMonerat,G. A.Silva,E. V. CorrêaOliveira-Neto,G.Ferreira Filho,L. G.Lemos,N. A.eng2006-01-18T00:00:00Zoai:scielo:S0103-97332005000700024Revistahttp://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:2006-01-18T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false |
dc.title.none.fl_str_mv |
Notes on the quantization of FRW model in the presence of a cosmological constant and radiation |
title |
Notes on the quantization of FRW model in the presence of a cosmological constant and radiation |
spellingShingle |
Notes on the quantization of FRW model in the presence of a cosmological constant and radiation Monerat,G. A. |
title_short |
Notes on the quantization of FRW model in the presence of a cosmological constant and radiation |
title_full |
Notes on the quantization of FRW model in the presence of a cosmological constant and radiation |
title_fullStr |
Notes on the quantization of FRW model in the presence of a cosmological constant and radiation |
title_full_unstemmed |
Notes on the quantization of FRW model in the presence of a cosmological constant and radiation |
title_sort |
Notes on the quantization of FRW model in the presence of a cosmological constant and radiation |
author |
Monerat,G. A. |
author_facet |
Monerat,G. A. Silva,E. V. Corrêa Oliveira-Neto,G. Ferreira Filho,L. G. Lemos,N. A. |
author_role |
author |
author2 |
Silva,E. V. Corrêa Oliveira-Neto,G. Ferreira Filho,L. G. Lemos,N. A. |
author2_role |
author author author author |
dc.contributor.author.fl_str_mv |
Monerat,G. A. Silva,E. V. Corrêa Oliveira-Neto,G. Ferreira Filho,L. G. Lemos,N. A. |
description |
In the present work, we use the formalism of quantum general relativity in order to quantize a Friedmann-Robertson-Walker model in the presence of a negative cosmological constant and radiation. The model has spatial sections with positive constant curvature. The wave-function of the model satisfies a Wheeler-DeWitt equation, for the scale factor, which has the form of the Schrödinger's equation for the quartic anharmonic oscillator. We find the eigenvalues and eigenfunctions by using a method first developed by Chhajlany and Malnev. After that, we use the eigenfunctions in order to construct wave-packets for evaluating the time-dependent, expected value of the scale factor. We find that, the expected value of the scale factor oscillates between maximum and minimum values. Since the scale factor never vanishes, we conclude that the model does not have a singularity. |
publishDate |
2005 |
dc.date.none.fl_str_mv |
2005-12-01 |
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=S0103-97332005000700024 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332005000700024 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S0103-97332005000700024 |
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.35 n.4b 2005 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_ |
1754734862319747072 |