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Exact Cosmology in Myrzakulov Gravity
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abstract
In this paper, we have investigated some exact cosmological models in Myrzakulov gravity using a flat Friedmann-Lematre-Robertson-Walker (FLRW) spacetime metric. We have considered the modified Lagrangian function as $F(R,T)=R+\lambda T$, where $R, T$ are respectively the Ricci curvature scalar and the torsion scalar with respect to non-special connection, and $\lambda$ is a model parameter. We have obtained two exact solutions in two different situations for the scale factor $a(t)$. Using this scale factor, we have obtained various geometrical parameters to investigate cosmological properties of the universe. We have obtained the best fit values of model parameters through the MCMC analysis of two types latest observational datasets like $H(z)$ and Pantheon SNe Ia samples, with $1-\sigma, 2-\sigma$ \& $3-\sigma$ 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 $\omega_{eff}$ varies in the range $-1\le\omega_{eff}\le0$ while in the model-II, it varies as $-1.031\le\omega_{eff}\le0$. We have found that both models are transit phase (decelerating to accelerating) universe with transition redshift in the range $0.6<z_{t}<0.8$ and present age of the universe $t_{0}\approx13.5$ Gyrs.
Forward citations
Cited by 7 Pith papers
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Traversable Wormhole Solutions in massive $F(T)$ gravity
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Non-singular bounce solutions in Myrzakulov $f(R,T)$ gravity
In Myrzakulov F(R,T) gravity, free connection functions can be chosen to produce matter-bounce backgrounds with a scale-invariant scalar power spectrum.
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Scalar Field Kantowski--Sachs Solutions in Teleparallel $F(T)$ Gravity
New families of exact and approximate F(T) solutions are derived for scalar-field-driven Kantowski-Sachs teleparallel gravity using power-law, exponential, and logarithmic ansatze.
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Einstein-Gauss-Bonnet-Myrzakulov Gravity from $R + F(T, G)$: Numerical Insights and Torsion-Gauss-Bonnet Dynamics in Weitzenb\"ock Spacetime
A review-style preprint that restates an R+F(T,G) modified gravity framework but provides no derivation, data, or reproducible numerical analysis.
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Myrzakulov Gravity in Vielbein Formalism: A Study in Weitzenb\"ock Spacetime
The paper claims a new derivation of f(R,T) gravity field equations, but the derivation is unsupported and the applications reduce to known results.
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