f(R) Gravity in an Ellipsoidal Universe
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arXiv
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| Format: | Preprint |
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2023
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| author | Deliduman, Cemsinan Kasikci, Oguzhan Tugyanoglu, Vildan Keles |
| author_facet | Deliduman, Cemsinan Kasikci, Oguzhan Tugyanoglu, Vildan Keles |
| contents | We propose a new model of cosmology based on an anisotropic background and a specific $f(R)$ theory of gravity. It is shown that field equations of $f(R)$ gravity in a Bianchi type I background give rise to a modified Friedmann equation. This model contains two important parameters: $γ$ and $δ$. We, thus, simply call our model $γδ$CDM. It is distinguished in two important aspects from the $Λ$CDM model: firstly, the contribution of different energy densities to the Hubble parameter are weighted with different weights, and then, dependence of energy densities to redshift is modified as well. This unorthodox relation of energy content to Hubble parameter brings forth a new way of interpreting the cosmological history. This solution does not allow the existence of a cosmological constant component, however, a dark energy contribution with dependence on redshift is possible. We tested observational relevance of the new solution by best fitting to different data sets. We found that our model could accommodate the idea of cosmological coupling of black holes. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2310_02914 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | f(R) Gravity in an Ellipsoidal Universe Deliduman, Cemsinan Kasikci, Oguzhan Tugyanoglu, Vildan Keles General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics We propose a new model of cosmology based on an anisotropic background and a specific $f(R)$ theory of gravity. It is shown that field equations of $f(R)$ gravity in a Bianchi type I background give rise to a modified Friedmann equation. This model contains two important parameters: $γ$ and $δ$. We, thus, simply call our model $γδ$CDM. It is distinguished in two important aspects from the $Λ$CDM model: firstly, the contribution of different energy densities to the Hubble parameter are weighted with different weights, and then, dependence of energy densities to redshift is modified as well. This unorthodox relation of energy content to Hubble parameter brings forth a new way of interpreting the cosmological history. This solution does not allow the existence of a cosmological constant component, however, a dark energy contribution with dependence on redshift is possible. We tested observational relevance of the new solution by best fitting to different data sets. We found that our model could accommodate the idea of cosmological coupling of black holes. |
| title | f(R) Gravity in an Ellipsoidal Universe |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2310.02914 |