Induced equation of state for the universe epochs constrained by the hubble parameter
Autor(a) principal: | |
---|---|
Data de Publicação: | 2021 |
Outros Autores: | , , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/j.cjph.2021.04.021 http://hdl.handle.net/11449/207753 |
Resumo: | We present a five dimensional cosmological metric that reveals a four-dimensional energy-momentum tensor. We analyse three cases for the resulting field equations: null, positive and negative cosmological constant Λ. For the case with null cosmological constant, we obtain a solution able to describe the radiation-dominated era of the universe. The positive five-dimensional cosmological constant case yields a bounce cosmological model. In the negative Λ case, the scale factor for the line element is obtained as a(t)=c5sinh([Formula presented]|Λ|t), where c5 is a constant. This solution can remarkably describe not only the late-time cosmic acceleration but also the non-accelerated stages of the cosmic expansion, namely the radiation and matter dominated epochs in a continuous form. We obtain an analytical equation of state capable of describing the different epochs of the universe and it reads as p=ω(z)ρ with ω(z)=[Formula presented][1−[Formula presented]], with p being the pressure of the universe, ρ its density and z is the redshift. In our model the constant c5 is related to the Hubble constant as H0=[Formula presented]coth[arcsinh([Formula presented])2] and this satisfactorily fits the observational data for the low redshift sample of the experimental measurements of the Hubble parameter, which results in H0=72.2−5.5+5.3 km s−1 Mpc−1 and c5=0.600−0.058+0.061. |
id |
UNSP_fbbf365acdab0e976e91f69ca05d7214 |
---|---|
oai_identifier_str |
oai:repositorio.unesp.br:11449/207753 |
network_acronym_str |
UNSP |
network_name_str |
Repositório Institucional da UNESP |
repository_id_str |
2946 |
spelling |
Induced equation of state for the universe epochs constrained by the hubble parameterCosmologyDark energyExtra dimensionsWe present a five dimensional cosmological metric that reveals a four-dimensional energy-momentum tensor. We analyse three cases for the resulting field equations: null, positive and negative cosmological constant Λ. For the case with null cosmological constant, we obtain a solution able to describe the radiation-dominated era of the universe. The positive five-dimensional cosmological constant case yields a bounce cosmological model. In the negative Λ case, the scale factor for the line element is obtained as a(t)=c5sinh([Formula presented]|Λ|t), where c5 is a constant. This solution can remarkably describe not only the late-time cosmic acceleration but also the non-accelerated stages of the cosmic expansion, namely the radiation and matter dominated epochs in a continuous form. We obtain an analytical equation of state capable of describing the different epochs of the universe and it reads as p=ω(z)ρ with ω(z)=[Formula presented][1−[Formula presented]], with p being the pressure of the universe, ρ its density and z is the redshift. In our model the constant c5 is related to the Hubble constant as H0=[Formula presented]coth[arcsinh([Formula presented])2] and this satisfactorily fits the observational data for the low redshift sample of the experimental measurements of the Hubble parameter, which results in H0=72.2−5.5+5.3 km s−1 Mpc−1 and c5=0.600−0.058+0.061.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)ITA - Instituto Tecnológico de Aeronáutica - Departamento de FísicaUniversidade de São Paulo Instituto de Astronomia, Geofísica e Ciências Atmosféricas, Rua do Matão 1226, Cidade UniversitáriaUniversidade Estadual Paulista (Unesp), Campus Experimental de Itapeva - R. Geraldo Alckmin 519Departamento de Física Instituto de Ciências Ambientais Químicas e Farmacêuticas (ICAQF), Universidade Federal de São Paulo - UNIFESP, Rua São Nicolau no.210, CentroUniversidade Estadual Paulista (Unesp), Campus Experimental de Itapeva - R. Geraldo Alckmin 519FAPESP: 2013/26258-2FAPESP: 2015/08476-0FAPESP: 2017/05859-0FAPESP: 2018/20689-7CNPq: 313236/2018-6CNPq: 438562/2018-6CAPES: 88881.309870/2018-01CAPES: 88882.446980/2019-01ITA - Instituto Tecnológico de Aeronáutica - Departamento de FísicaUniversidade de São Paulo (USP)Universidade Estadual Paulista (Unesp)Universidade Federal de São Paulo (UNIFESP)Lapola, M. M.Moraes, P. H.R.S.de Paula, W.Jesus, J. F. [UNESP]Valentim, R.Malheiro, M.2021-06-25T11:00:24Z2021-06-25T11:00:24Z2021-08-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article159-175http://dx.doi.org/10.1016/j.cjph.2021.04.021Chinese Journal of Physics, v. 72, p. 159-175.0577-9073http://hdl.handle.net/11449/20775310.1016/j.cjph.2021.04.0212-s2.0-85106229522Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengChinese Journal of Physicsinfo:eu-repo/semantics/openAccess2021-10-23T17:45:57Zoai:repositorio.unesp.br:11449/207753Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:54:56.408568Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Induced equation of state for the universe epochs constrained by the hubble parameter |
title |
Induced equation of state for the universe epochs constrained by the hubble parameter |
spellingShingle |
Induced equation of state for the universe epochs constrained by the hubble parameter Lapola, M. M. Cosmology Dark energy Extra dimensions |
title_short |
Induced equation of state for the universe epochs constrained by the hubble parameter |
title_full |
Induced equation of state for the universe epochs constrained by the hubble parameter |
title_fullStr |
Induced equation of state for the universe epochs constrained by the hubble parameter |
title_full_unstemmed |
Induced equation of state for the universe epochs constrained by the hubble parameter |
title_sort |
Induced equation of state for the universe epochs constrained by the hubble parameter |
author |
Lapola, M. M. |
author_facet |
Lapola, M. M. Moraes, P. H.R.S. de Paula, W. Jesus, J. F. [UNESP] Valentim, R. Malheiro, M. |
author_role |
author |
author2 |
Moraes, P. H.R.S. de Paula, W. Jesus, J. F. [UNESP] Valentim, R. Malheiro, M. |
author2_role |
author author author author author |
dc.contributor.none.fl_str_mv |
ITA - Instituto Tecnológico de Aeronáutica - Departamento de Física Universidade de São Paulo (USP) Universidade Estadual Paulista (Unesp) Universidade Federal de São Paulo (UNIFESP) |
dc.contributor.author.fl_str_mv |
Lapola, M. M. Moraes, P. H.R.S. de Paula, W. Jesus, J. F. [UNESP] Valentim, R. Malheiro, M. |
dc.subject.por.fl_str_mv |
Cosmology Dark energy Extra dimensions |
topic |
Cosmology Dark energy Extra dimensions |
description |
We present a five dimensional cosmological metric that reveals a four-dimensional energy-momentum tensor. We analyse three cases for the resulting field equations: null, positive and negative cosmological constant Λ. For the case with null cosmological constant, we obtain a solution able to describe the radiation-dominated era of the universe. The positive five-dimensional cosmological constant case yields a bounce cosmological model. In the negative Λ case, the scale factor for the line element is obtained as a(t)=c5sinh([Formula presented]|Λ|t), where c5 is a constant. This solution can remarkably describe not only the late-time cosmic acceleration but also the non-accelerated stages of the cosmic expansion, namely the radiation and matter dominated epochs in a continuous form. We obtain an analytical equation of state capable of describing the different epochs of the universe and it reads as p=ω(z)ρ with ω(z)=[Formula presented][1−[Formula presented]], with p being the pressure of the universe, ρ its density and z is the redshift. In our model the constant c5 is related to the Hubble constant as H0=[Formula presented]coth[arcsinh([Formula presented])2] and this satisfactorily fits the observational data for the low redshift sample of the experimental measurements of the Hubble parameter, which results in H0=72.2−5.5+5.3 km s−1 Mpc−1 and c5=0.600−0.058+0.061. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-06-25T11:00:24Z 2021-06-25T11:00:24Z 2021-08-01 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1016/j.cjph.2021.04.021 Chinese Journal of Physics, v. 72, p. 159-175. 0577-9073 http://hdl.handle.net/11449/207753 10.1016/j.cjph.2021.04.021 2-s2.0-85106229522 |
url |
http://dx.doi.org/10.1016/j.cjph.2021.04.021 http://hdl.handle.net/11449/207753 |
identifier_str_mv |
Chinese Journal of Physics, v. 72, p. 159-175. 0577-9073 10.1016/j.cjph.2021.04.021 2-s2.0-85106229522 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Chinese Journal of Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
159-175 |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128998837846016 |