Myrzakulov $F(T,Q)$ gravity: cosmological implications and constraints
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arXiv
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| Natura: | Preprint |
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2024
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| author | Maurya, Dinesh Chandra Yesmakhanova, K. Myrzakulov, R. Nugmanova, G. |
| author_facet | Maurya, Dinesh Chandra Yesmakhanova, K. Myrzakulov, R. Nugmanova, G. |
| contents | In this paper, we investigate some exact cosmological models in Myrzakulov $F(T,Q)$ gravity or the Myrzakulov gravity-III (MG-III) proposed in [arXiv:1205.5266], with observational constraints. The MG-III gravity is some kind of unification of two known gravity theories, namely, the $F(T)$ gravity and the $F(Q)$ gravity. The field equations of the MG-III theory are obtained by regarding the metric tensor and the general affine connection as independent variables. We then focus on the particular case in which the $F(T,Q)$ function characterizing the aforementioned metric-affine models is linear that is $F(T,Q)=λT+μQ$. We investigate this linear case and consider a Friedmann-Lemaître-Robertson-Walker background to study cosmological aspects and applications. We have obtained three exact solutions of the modified field equations in different cases $T$ and $Q$, in the form of Hubble function $H(t)$ and scale factor $a(t)$ and placed observational constraints on it through the Hubble $H(z)$ datasets on it using the MCMC analysis. We have investigated the deceleration parameter $q(z)$, effective EoS parameters and a comparative study of all three models with $Λ$CDM model has been carried out. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_09698 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Myrzakulov $F(T,Q)$ gravity: cosmological implications and constraints Maurya, Dinesh Chandra Yesmakhanova, K. Myrzakulov, R. Nugmanova, G. General Relativity and Quantum Cosmology 98.80-k, 98.80.Jk, 04.50.Kd In this paper, we investigate some exact cosmological models in Myrzakulov $F(T,Q)$ gravity or the Myrzakulov gravity-III (MG-III) proposed in [arXiv:1205.5266], with observational constraints. The MG-III gravity is some kind of unification of two known gravity theories, namely, the $F(T)$ gravity and the $F(Q)$ gravity. The field equations of the MG-III theory are obtained by regarding the metric tensor and the general affine connection as independent variables. We then focus on the particular case in which the $F(T,Q)$ function characterizing the aforementioned metric-affine models is linear that is $F(T,Q)=λT+μQ$. We investigate this linear case and consider a Friedmann-Lemaître-Robertson-Walker background to study cosmological aspects and applications. We have obtained three exact solutions of the modified field equations in different cases $T$ and $Q$, in the form of Hubble function $H(t)$ and scale factor $a(t)$ and placed observational constraints on it through the Hubble $H(z)$ datasets on it using the MCMC analysis. We have investigated the deceleration parameter $q(z)$, effective EoS parameters and a comparative study of all three models with $Λ$CDM model has been carried out. |
| title | Myrzakulov $F(T,Q)$ gravity: cosmological implications and constraints |
| topic | General Relativity and Quantum Cosmology 98.80-k, 98.80.Jk, 04.50.Kd |
| url | https://arxiv.org/abs/2404.09698 |