The Palatini formalism of the $$f(R,{\mathcal {L}}_{m},T)$$ f ( R , L m , T ) theory of gravity
Abstract We present the first formulation of the recently proposed $$f(R,{\mathcal {L}}_m,T)$$ f ( R , L m , T ) theory of gravity within the Palatini formalism, a well-known alternative variational approach where the metric and connection are treated as independent variables. By applying this forma...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13731-4 |
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| author | J. G. de Lima P. H. R. S. Moraes E. Brito J. A. S. Fortunato |
| author_facet | J. G. de Lima P. H. R. S. Moraes E. Brito J. A. S. Fortunato |
| author_sort | J. G. de Lima |
| collection | DOAJ |
| description | Abstract We present the first formulation of the recently proposed $$f(R,{\mathcal {L}}_m,T)$$ f ( R , L m , T ) theory of gravity within the Palatini formalism, a well-known alternative variational approach where the metric and connection are treated as independent variables. By applying this formalism, we derive a new set of field equations that exhibit, as expected, distinct properties compared to their metric formalism counterparts. We particularly present the Newtonian limit of this formalism, as well as the resulting Friedmann-like equations. We highlight that potential observational signatures may distinguish between the metric and Palatini frameworks. Our results open new pathways for exploring the phenomenology of modified gravity theories and their testability with observational data. |
| format | Article |
| id | doaj-art-50c69f0696e74c70b466b718b6b70fdc |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-50c69f0696e74c70b466b718b6b70fdc2025-01-26T12:49:19ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-018511610.1140/epjc/s10052-024-13731-4The Palatini formalism of the $$f(R,{\mathcal {L}}_{m},T)$$ f ( R , L m , T ) theory of gravityJ. G. de Lima0P. H. R. S. Moraes1E. Brito2J. A. S. Fortunato3Instituto de Física, Universidade Federal do Alagoas (UFAL)Laboratório de Física Teórica e Computacional (LFTC), Universidade Cidade de São Paulo (UNICID)Centro de Ciências Exatas e das Tecnologias, Universidade Federal do Oeste da BahiaCentro de Ciências Exatas, Departamento de Física, PPGCosmo, Universidade Federal do Espírito Santo (UFES)Abstract We present the first formulation of the recently proposed $$f(R,{\mathcal {L}}_m,T)$$ f ( R , L m , T ) theory of gravity within the Palatini formalism, a well-known alternative variational approach where the metric and connection are treated as independent variables. By applying this formalism, we derive a new set of field equations that exhibit, as expected, distinct properties compared to their metric formalism counterparts. We particularly present the Newtonian limit of this formalism, as well as the resulting Friedmann-like equations. We highlight that potential observational signatures may distinguish between the metric and Palatini frameworks. Our results open new pathways for exploring the phenomenology of modified gravity theories and their testability with observational data.https://doi.org/10.1140/epjc/s10052-024-13731-4 |
| spellingShingle | J. G. de Lima P. H. R. S. Moraes E. Brito J. A. S. Fortunato The Palatini formalism of the $$f(R,{\mathcal {L}}_{m},T)$$ f ( R , L m , T ) theory of gravity European Physical Journal C: Particles and Fields |
| title | The Palatini formalism of the $$f(R,{\mathcal {L}}_{m},T)$$ f ( R , L m , T ) theory of gravity |
| title_full | The Palatini formalism of the $$f(R,{\mathcal {L}}_{m},T)$$ f ( R , L m , T ) theory of gravity |
| title_fullStr | The Palatini formalism of the $$f(R,{\mathcal {L}}_{m},T)$$ f ( R , L m , T ) theory of gravity |
| title_full_unstemmed | The Palatini formalism of the $$f(R,{\mathcal {L}}_{m},T)$$ f ( R , L m , T ) theory of gravity |
| title_short | The Palatini formalism of the $$f(R,{\mathcal {L}}_{m},T)$$ f ( R , L m , T ) theory of gravity |
| title_sort | palatini formalism of the f r mathcal l m t f r l m t theory of gravity |
| url | https://doi.org/10.1140/epjc/s10052-024-13731-4 |
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