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| Format: | Preprint |
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2024
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| Online Access: | https://arxiv.org/abs/2404.02867 |
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| _version_ | 1866929445659475968 |
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| author | Rojas, Efraín Cruz, G. Natividad, J. C. |
| author_facet | Rojas, Efraín Cruz, G. Natividad, J. C. |
| contents | Within the framework of the modified geodetic brane gravity, conformed by the Regge-Teitelboim model and enhanced with a linear term in the extrinsic curvature of the brane, the possibility that under an FRW geometry this theory emulates the so-called dark energy is discussed. The cosmological behavior of this model displays a self-(non-self)-accelerated expansion of this universe which is caused by a combination of usual matter and gravitational geometric effects controlled by a $β$ parameter that accompanies the correction $K$ term. Indeed, the self-accelerated branch, provided by the trace $K$ model raises the question of whether the extrinsic curvature correction terms might be suitable for dark energy candidates. We discuss the analytical expression obtained for $\rd$ in addition to the main cosmological parameters such as the state parameter $ω_{\text{\tiny eff}}$ and the deceleration parameter $q$. Moreover, when we call for the contribution of dark radiation-like energy to be switched off, $\Odr \to 0$, we find the same acceleration behavior, as well as the same dark energy content provided by the DGP theory. The relationship of our findings to the analysis for $\rd$ performed by Davidson and Gurwich within the unified brane cosmology is briefly discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02867 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dark energy as a geometrical effect in geodetic brane gravity Rojas, Efraín Cruz, G. Natividad, J. C. General Relativity and Quantum Cosmology Within the framework of the modified geodetic brane gravity, conformed by the Regge-Teitelboim model and enhanced with a linear term in the extrinsic curvature of the brane, the possibility that under an FRW geometry this theory emulates the so-called dark energy is discussed. The cosmological behavior of this model displays a self-(non-self)-accelerated expansion of this universe which is caused by a combination of usual matter and gravitational geometric effects controlled by a $β$ parameter that accompanies the correction $K$ term. Indeed, the self-accelerated branch, provided by the trace $K$ model raises the question of whether the extrinsic curvature correction terms might be suitable for dark energy candidates. We discuss the analytical expression obtained for $\rd$ in addition to the main cosmological parameters such as the state parameter $ω_{\text{\tiny eff}}$ and the deceleration parameter $q$. Moreover, when we call for the contribution of dark radiation-like energy to be switched off, $\Odr \to 0$, we find the same acceleration behavior, as well as the same dark energy content provided by the DGP theory. The relationship of our findings to the analysis for $\rd$ performed by Davidson and Gurwich within the unified brane cosmology is briefly discussed. |
| title | Dark energy as a geometrical effect in geodetic brane gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2404.02867 |