Viable constraints on some Myrzakulov f ( R , T , Q , T )
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Cited by 2 publications
References 38 publications
Transit cosmological models in $$F(R,{\bar{T}})$$ gravity theory
In the present paper, we investigate some exact cosmological models in $$F(R,{\bar{T}})$$ F ( R , T ¯ ) gravity theory. We have considered the arbitrary function $$F(R, {\bar{T}})=R+\lambda {\bar{T}}$$ F ( R , T ¯ ) = R + λ T ¯ where $$\lambda $$ λ is an arbitrary constant, $$R, {\bar{T}}$$ 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 $$1-\sigma , 2-\sigma , 3-\sigma $$ 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 $$z_{t}=0.4438_{-0.0790}^{+0.1008}, 0.3651_{-0.0904}^{+0.1644}$$ z t = 0 . 4438 - 0.0790 + 0.1008 , 0 . 3651 - 0.0904 + 0.1644 . The effective dark energy equation of state varies as $$-1\le \omega _{de}\le -0.5176$$ - 1 ≤ ω de ≤ - 0.5176 and the present age of the universe is found as $$t_{0}=13.8486_{-0.0640}^{+0.1005}, 12.0135_{-0.2743}^{+0.6206}$$ t 0 = 13 . 8486 - 0.0640 + 0.1005 , 12 . 0135 - 0.2743 + 0.6206 Gyrs, respectively for two datasets.
Transit cosmological models in $$F(R,{\bar{T}})$$ gravity theory
In the present paper, we investigate some exact cosmological models in $$F(R,{\bar{T}})$$ F ( R , T ¯ ) gravity theory. We have considered the arbitrary function $$F(R, {\bar{T}})=R+\lambda {\bar{T}}$$ F ( R , T ¯ ) = R + λ T ¯ where $$\lambda $$ λ is an arbitrary constant, $$R, {\bar{T}}$$ 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 $$1-\sigma , 2-\sigma , 3-\sigma $$ 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 $$z_{t}=0.4438_{-0.0790}^{+0.1008}, 0.3651_{-0.0904}^{+0.1644}$$ z t = 0 . 4438 - 0.0790 + 0.1008 , 0 . 3651 - 0.0904 + 0.1644 . The effective dark energy equation of state varies as $$-1\le \omega _{de}\le -0.5176$$ - 1 ≤ ω de ≤ - 0.5176 and the present age of the universe is found as $$t_{0}=13.8486_{-0.0640}^{+0.1005}, 12.0135_{-0.2743}^{+0.6206}$$ t 0 = 13 . 8486 - 0.0640 + 0.1005 , 12 . 0135 - 0.2743 + 0.6206 Gyrs, respectively for two datasets.
Exact cosmological models in metric-affine F(R, T) gravity
A flat Friedmann–Lematre–Robertson–Walker (FLRW) spacetime metric was used to investigate some exact cosmological models in metric-affine F(R, T) gravity in this paper. The considered modified Lagrangian function is $$F(R,T)=R+\lambda T$$ F ( R , T ) = R + λ T , where R is the Ricci curvature scalar, T is the torsion scalar for the non-special connection, and $$\lambda $$ λ is a model parameter. We also wrote $$R=R^{(LC)}+u$$ R = R ( L C ) + u and $$T=T^{(W)}+v$$ T = T ( W ) + v , where $$R^{(LC)}$$ R ( L C ) is the Ricci scalar curvature with respect to the Levi–Civita connection and $$T^{(W)}$$ T ( W ) is the torsion scalar with respect to the Weitzenbock connection, and u and v are the functions of scale factor a(t), connection and its derivatives. For the scale factor a(t), we have obtained two exact solutions of modified field equations in two different situations of u and v. Using this scale factor, we have obtained various geometrical parameters to investigate the universe’s cosmological properties. We used Markov chain Monte Carlo (MCMC) simulation to analyze two types of latest datasets: cosmic chronometer (CC) data (Hubble data) points and Pantheon SNe Ia samples, and found the model parameters that fit the observations best at $$1-\sigma $$ 1 - σ , and $$2-\sigma $$ 2 - σ regions. We have performed a comparative and relativistic study of geometrical and cosmological parameters. In model-I, we have found that the effective equation of state (EoS) parameter $$\omega _{eff}$$ ω eff varies in the range $$-1\le \omega _{eff}\le 0$$ - 1 ≤ ω eff ≤ 0 , while in model-II, it varies as $$-1.0345\le \omega _{eff}\le 0$$ - 1.0345 ≤ ω eff ≤ 0 . We found that both models are transit phase (moving from slowing down to speeding up) universes with a transition redshift $$z_{t}=0.5874_{-0.0197}^{+0.2130}$$ z t = 0 . 5874 - 0.0197 + 0.2130 and $$z_{t}=0.6865_{-0.0303}^{+0.1719}$$ z t = 0 . 6865 - 0.0303 + 0.1719 .
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