Exact Cosmology in Myrzakulov Gravity

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 $-1\le {\omega }_{eff}\le 0$ while in the model-II, it varies as $-1.031\le {\omega }_{eff}\le 0$. 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 $t_0\approx 13.5$ Gyrs.

25 pages, 34 figures

References in corpus (19)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• Covariant Galileon
• The teleparallel equivalent of general relativity
• Construction of cosmologically viable f(G) gravity models
• Hubble parameter measurement constraints on the redshift of the deceleration-acceleration transition, dynamical dark energy, and space curvature
• FRW Cosmology in F(R,T) gravity
• Non-metricity with bounday terms: $f(Q,C)$ gravity and cosmology
• Observational constraints on the deceleration parameter in a tilted universe
• Stringy Space-Time Foam, Finsler-like Metrics and Dark Matter Relics
• Brans-Dicke Scalar Field Cosmological Model in Lyra's Geometry
• Weak field equations and generalized FRW cosmology on the tangent Lorentz bundle
• Transit String Dark Energy Models in $f(Q)$ Gravity
• Transit cosmological models in Myrzakulov F(R,T) gravity theory
• FLRW Cosmology in Metric-Affine $F(R,Q)$ Gravity
• Myrzakulov $F(T,Q)$ gravity: cosmological implications and constraints
• Aether-quasi-dilaton massive gravity

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• FLRW Cosmology in Metric-Affine $F(R,Q)$ Gravity
• Myrzakulov $F(T,Q)$ gravity: cosmological implications and constraints
• Myrzakulov Gravity in Vielbein Formalism: A Study in Weitzenböck Spacetime
• Metric-Affine Myrzakulov Gravity Theories: Models, Applications and Theoretical Developments
• Constrained transit cosmological models in $f(R,L_m,T)$-gravity
• Einstein-Gauss-Bonnet-Myrzakulov Gravity from $R+F(T,G)$: Numerical Insights and Torsion-Gauss-Bonnet Dynamics in Weitzenböck Spacetime
• Electromagnetic Sources Teleparallel Robertson--Walker $F(T)$-Gravity Solutions
• Chaplygin and Polytropic gases Teleparallel Robertson-Walker $F(T)$ gravity solutions