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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2312.10443 |
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| _version_ | 1866909571880058880 |
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| author | Escobedo, Ricardo Santos-Silva, Roberto Moreno, Claudia Hernández-Jiménez, Rafael |
| author_facet | Escobedo, Ricardo Santos-Silva, Roberto Moreno, Claudia Hernández-Jiménez, Rafael |
| contents | In this article, we analyze a 7-dimensional $BF$ theory that, upon dimensional reduction, transforms into an effective 4-dimensional action in which a generic metric is involved. A constraint is imposed in such a way that this is the Friedmann-Lemaître-Robertson-Walker metric characterized by a scale factor $a(t)=\mathrm{exp}(H_0 t)$ with a Hubble constant $H_{0}=67.70 \,\rm [km\, s^{-1}\,Mpc^{-1}]$. We also compute the barotropic parameter $ω\equiv p/ρ$ from our solutions. Three different scenarios are explored, in which the model transitions from quintessence to phantom regimes, crossing the theoretical phantom divide line. Consequently, the effective action represents a quintom-like scenario. Moreover, we derive some analytic solutions for the scale factor by treating it as a dynamical variable in the effective action. In this case, different outcomes are obtained, where the model can transit from a cosmological constant to a quintessence regime; however, it cannot cross the theoretical phantom divide line. However, this simplistic model successfully captures distinct phases of cosmic expansion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_10443 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Towards a de Sitter quintom-like cosmology from a reduction of a 7-dimensional $BF$ theory Escobedo, Ricardo Santos-Silva, Roberto Moreno, Claudia Hernández-Jiménez, Rafael General Relativity and Quantum Cosmology In this article, we analyze a 7-dimensional $BF$ theory that, upon dimensional reduction, transforms into an effective 4-dimensional action in which a generic metric is involved. A constraint is imposed in such a way that this is the Friedmann-Lemaître-Robertson-Walker metric characterized by a scale factor $a(t)=\mathrm{exp}(H_0 t)$ with a Hubble constant $H_{0}=67.70 \,\rm [km\, s^{-1}\,Mpc^{-1}]$. We also compute the barotropic parameter $ω\equiv p/ρ$ from our solutions. Three different scenarios are explored, in which the model transitions from quintessence to phantom regimes, crossing the theoretical phantom divide line. Consequently, the effective action represents a quintom-like scenario. Moreover, we derive some analytic solutions for the scale factor by treating it as a dynamical variable in the effective action. In this case, different outcomes are obtained, where the model can transit from a cosmological constant to a quintessence regime; however, it cannot cross the theoretical phantom divide line. However, this simplistic model successfully captures distinct phases of cosmic expansion. |
| title | Towards a de Sitter quintom-like cosmology from a reduction of a 7-dimensional $BF$ theory |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2312.10443 |