Friedmann equations in the Codazzi parametrization of Cotton and extended theories of gravity and the Dark Sector
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2023
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| _version_ | 1866929253948325888 |
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| author | Mantica, Carlo Alberto Molinari, Luca Guido |
| author_facet | Mantica, Carlo Alberto Molinari, Luca Guido |
| contents | The Friedmann equations of Cotton gravity provide a simple parametrization to reproduce, by tuning a single function, the Friedmann equations of several extensions of gravity, such as f(R), modified Gauss-Bonnet f(G), teleparallel f(T), and more. It also includes the recently proposed Conformal Killing gravity and Mimetic gravity in FRW space-times. The extensions generally have the form of a Codazzi tensor that may be associated to the dark sector. Fixing it by a suitable equation of state accomodates most of the postulated models that extend $Λ$CDM, as the Chevallier-Polarski-Lindler model. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2312_02784 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Friedmann equations in the Codazzi parametrization of Cotton and extended theories of gravity and the Dark Sector Mantica, Carlo Alberto Molinari, Luca Guido General Relativity and Quantum Cosmology 83D05 (Primary) 83C56 (Secondary) The Friedmann equations of Cotton gravity provide a simple parametrization to reproduce, by tuning a single function, the Friedmann equations of several extensions of gravity, such as f(R), modified Gauss-Bonnet f(G), teleparallel f(T), and more. It also includes the recently proposed Conformal Killing gravity and Mimetic gravity in FRW space-times. The extensions generally have the form of a Codazzi tensor that may be associated to the dark sector. Fixing it by a suitable equation of state accomodates most of the postulated models that extend $Λ$CDM, as the Chevallier-Polarski-Lindler model. |
| title | Friedmann equations in the Codazzi parametrization of Cotton and extended theories of gravity and the Dark Sector |
| topic | General Relativity and Quantum Cosmology 83D05 (Primary) 83C56 (Secondary) |
| url | https://arxiv.org/abs/2312.02784 |