Late time acceleration in Palatini gravity
Abstract We investigate the effect of the quadratic correction αR 2 and non-minimal coupling ξϕ 2 R on a quintessence model with an exponential potential V(ϕ) = M 4exp(−λϕ) in the Palatini formulation of gravity. We use dynamical system techniques to analyze the attractor structure of the model and...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2022)144 |
| _version_ | 1797865739516903424 |
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| author | Ignatios Antoniadis Anthony Guillen Kyriakos Tamvakis |
| author_facet | Ignatios Antoniadis Anthony Guillen Kyriakos Tamvakis |
| author_sort | Ignatios Antoniadis |
| collection | DOAJ |
| description | Abstract We investigate the effect of the quadratic correction αR 2 and non-minimal coupling ξϕ 2 R on a quintessence model with an exponential potential V(ϕ) = M 4exp(−λϕ) in the Palatini formulation of gravity. We use dynamical system techniques to analyze the attractor structure of the model and uncover the possible trajectories of the system. We find that the quadratic correction cannot play a role in the late time dynamics, except for unacceptably large values of the parameter α; although it can play a role at early times. We find viable evolutions, from a matter-dominated phase to an accelerated expansion phase, with the dynamics driven by the non-minimal coupling. These evolutions correspond to trajectories where the field ends up frozen, thus acting as a cosmological constant. |
| first_indexed | 2024-04-09T23:13:02Z |
| format | Article |
| id | doaj.art-5f1748b88e0a4167ac20f3eac167c8a8 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T23:13:02Z |
| publishDate | 2022-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-5f1748b88e0a4167ac20f3eac167c8a82023-03-22T10:15:39ZengSpringerOpenJournal of High Energy Physics1029-84792022-11-0120221112310.1007/JHEP11(2022)144Late time acceleration in Palatini gravityIgnatios Antoniadis0Anthony Guillen1Kyriakos Tamvakis2Laboratoire de Physique Théorique et Hautes Energies — LPTHE, Sorbonne Université, CNRSLaboratoire de Physique Théorique et Hautes Energies — LPTHE, Sorbonne Université, CNRSPhysics Department, University of IoanninaAbstract We investigate the effect of the quadratic correction αR 2 and non-minimal coupling ξϕ 2 R on a quintessence model with an exponential potential V(ϕ) = M 4exp(−λϕ) in the Palatini formulation of gravity. We use dynamical system techniques to analyze the attractor structure of the model and uncover the possible trajectories of the system. We find that the quadratic correction cannot play a role in the late time dynamics, except for unacceptably large values of the parameter α; although it can play a role at early times. We find viable evolutions, from a matter-dominated phase to an accelerated expansion phase, with the dynamics driven by the non-minimal coupling. These evolutions correspond to trajectories where the field ends up frozen, thus acting as a cosmological constant.https://doi.org/10.1007/JHEP11(2022)144Classical Theories of GravityEffective Field Theories |
| spellingShingle | Ignatios Antoniadis Anthony Guillen Kyriakos Tamvakis Late time acceleration in Palatini gravity Journal of High Energy Physics Classical Theories of Gravity Effective Field Theories |
| title | Late time acceleration in Palatini gravity |
| title_full | Late time acceleration in Palatini gravity |
| title_fullStr | Late time acceleration in Palatini gravity |
| title_full_unstemmed | Late time acceleration in Palatini gravity |
| title_short | Late time acceleration in Palatini gravity |
| title_sort | late time acceleration in palatini gravity |
| topic | Classical Theories of Gravity Effective Field Theories |
| url | https://doi.org/10.1007/JHEP11(2022)144 |
| work_keys_str_mv | AT ignatiosantoniadis latetimeaccelerationinpalatinigravity AT anthonyguillen latetimeaccelerationinpalatinigravity AT kyriakostamvakis latetimeaccelerationinpalatinigravity |