Linear perturbations in Horndeski theories with spatial curvature
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866917853862559744 |
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| author | Gambino, Serena Pace, Francesco |
| author_facet | Gambino, Serena Pace, Francesco |
| contents | We analyse the implications of the presence of spatial curvature in modified gravity models. As it is well known, the current standard cosmological model, the $Λ$CDM, is assumed to be spatially flat based on the results of many experiments. However, this statement does not necessarily hold for a modified gravity (MG) model, and this leads to couplings of the spatial curvature with the parameters of the chosen cosmological model. In this paper, we illustrate the theoretical development of how spatial curvature affects the equations of motion at linear order for scalar and tensor perturbations modes using a model-independent approach based on the formalism of the Effective Field Theory (EFT) of dark energy (DE). The results show that spatial curvature gives rise to a coupling with the scalar field perturbations and the functions parameterizing the model. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_01781 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Linear perturbations in Horndeski theories with spatial curvature Gambino, Serena Pace, Francesco General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics We analyse the implications of the presence of spatial curvature in modified gravity models. As it is well known, the current standard cosmological model, the $Λ$CDM, is assumed to be spatially flat based on the results of many experiments. However, this statement does not necessarily hold for a modified gravity (MG) model, and this leads to couplings of the spatial curvature with the parameters of the chosen cosmological model. In this paper, we illustrate the theoretical development of how spatial curvature affects the equations of motion at linear order for scalar and tensor perturbations modes using a model-independent approach based on the formalism of the Effective Field Theory (EFT) of dark energy (DE). The results show that spatial curvature gives rise to a coupling with the scalar field perturbations and the functions parameterizing the model. |
| title | Linear perturbations in Horndeski theories with spatial curvature |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2412.01781 |