Transit cosmological models in Myrzakulov F(R,T) gravity theory

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Main Authors: Maurya, Dinesh Chandra, Myrzakulov, Ratbay
Format: Preprint
Published: 2024
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author Maurya, Dinesh Chandra
Myrzakulov, Ratbay
author_facet Maurya, Dinesh Chandra
Myrzakulov, Ratbay
contents In the present paper, we investigate some exact cosmological models in Myrzakulov $F(R,T)$ gravity theory. We have considered the arbitrary function $F(R, T)=R+λT$ where $λ$ is an arbitrary constant, $R, T$ are respectively, the Ricci-scalar curvature and the torsion. We have solved the field equations in a flat FLRW spacetime manifold for Hubble parameter and using the MCMC analysis, we have estimated the best fit values of model parameters with $1-σ, 2-σ, 3-σ$ regions, for two observational datasets like $H(z)$ and Pantheon SNe Ia datasets. Using these best fit values of model parameters, we have done the result analysis and discussion of the model. We have found a transit phase decelerating-accelerating universe model with transition redshifts $z_{t}=0.4438_{-0.790}^{+0.1008}, 0.3651_{-0.0904}^{+0.1644}$. The effective dark energy equation of state varies as $-1\leω_{de}\le-0.5176$ and the present age of the universe is found as $t_{0}=13.8486_{-0.0640}^{+0.1005}, 12.0135_{-0.2743}^{+0.6206}$ Gyrs, respectively for two datasets.
format Preprint
id arxiv_https___arxiv_org_abs_2401_00686
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Transit cosmological models in Myrzakulov F(R,T) gravity theory
Maurya, Dinesh Chandra
Myrzakulov, Ratbay
General Relativity and Quantum Cosmology
83F05, 85A40, 83C56
In the present paper, we investigate some exact cosmological models in Myrzakulov $F(R,T)$ gravity theory. We have considered the arbitrary function $F(R, T)=R+λT$ where $λ$ is an arbitrary constant, $R, T$ are respectively, the Ricci-scalar curvature and the torsion. We have solved the field equations in a flat FLRW spacetime manifold for Hubble parameter and using the MCMC analysis, we have estimated the best fit values of model parameters with $1-σ, 2-σ, 3-σ$ regions, for two observational datasets like $H(z)$ and Pantheon SNe Ia datasets. Using these best fit values of model parameters, we have done the result analysis and discussion of the model. We have found a transit phase decelerating-accelerating universe model with transition redshifts $z_{t}=0.4438_{-0.790}^{+0.1008}, 0.3651_{-0.0904}^{+0.1644}$. The effective dark energy equation of state varies as $-1\leω_{de}\le-0.5176$ and the present age of the universe is found as $t_{0}=13.8486_{-0.0640}^{+0.1005}, 12.0135_{-0.2743}^{+0.6206}$ Gyrs, respectively for two datasets.
title Transit cosmological models in Myrzakulov F(R,T) gravity theory
topic General Relativity and Quantum Cosmology
83F05, 85A40, 83C56
url https://arxiv.org/abs/2401.00686