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.

arXiv comment25 pages, 34 figures

References in corpus (60)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• emcee: The MCMC Hammer
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Dynamics of dark energy
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• f(R) theories
• Extended Theories of Gravity
• The galileon as a local modification of gravity
• Baryon Acoustic Oscillations in the Sloan Digital Sky Survey Data Release 7 Galaxy Sample
• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• Statefinder -- a new geometrical diagnostic of dark energy
• f(T) teleparallel gravity and cosmology
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Constraints on the redshift dependence of the dark energy potential
• Non-Gaussianity from Inflation: Theory and Observations
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• Covariant Galileon
• Information criteria for astrophysical model selection
• Exploring the Expanding Universe and Dark Energy using the Statefinder Diagnostic
• Quintom Cosmology: Theoretical implications and observations
• The teleparallel equivalent of general relativity
• Hubble parameter measurement constraints on the cosmological deceleration-acceleration transition redshift
• Reconstruction of some cosmological models in f(R,T) gravity
• 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
• "Teleparallel" Dark Energy
• Hubble Parameter and Baryon Acoustic Oscillation Measurement Constraints on the Hubble Constant, the Deviation from the Spatially-Flat $\Lambda$cdm Model, The Deceleration-Acceleration Transition Redshift, and Spatial Curvature
• First evidence that non-metricity f(Q) gravity could challenge $\Lambda$CDM
• Brane World Cosmology
• FRW Cosmology in F(R,T) gravity
• Covariant formulation of scalar-torsion gravity
• Analysis of F(R,T) Gravity Models Through Energy Conditions
• Cosmological dynamics of non-minimally coupled scalar field system and its late time cosmic relevance
• The spectrum of symmetric teleparallel gravity
• General Analytic Solutions of Scalar Field Cosmology with Arbitrary Potential
• Non-metricity with bounday terms: $f(Q,C)$ gravity and cosmology
• Observational constraints on the deceleration parameter in a tilted universe
• How predictions of cosmological models depend on Hubble parameter data sets
• The bimetric variational principle for General Relativity
• $f(R)$-gravity from Killing Tensors
• Stringy Space-Time Foam, Finsler-like Metrics and Dark Matter Relics
• Covariant kinematics and gravitational bounce in Finsler space-times
• Observational constraints on Myrzakulov gravity
• Finslerian spaces possessing local relativistic symmetry
• Cosmology of Lorentz fiber-bundle induced scalar-tensor theories
• Cosmological applications of Myrzakulov gravity
• Noether Symmetry Approach for teleparallel-curvature cosmology
• 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
• Dynamical system analysis of Myrzakulov gravity
• Transit cosmological models in Myrzakulov F(R,T) gravity theory
• FLRW Cosmology in Metric-Affine $F(R,Q)$ Gravity
• Dark Energy Nature in Logarithmic $f(R,T)$ Cosmology
• Myrzakulov $F(T,Q)$ gravity: cosmological implications and constraints
• Aether-quasi-dilaton massive gravity

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• 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