FRW Cosmology in F(R,T) gravity

Abstract

In this paper, we consider a theory of gravity with a metric-dependent torsion namely the $F(R,T)$ gravity, where $R$ is the curvature scalar and $T$ is the torsion scalar. We study a geometric root of such theory. In particular we give the derivation of the model from the geometrical point of view. Then we present the more general form of $F(R,T)$ gravity with two arbitrary functions and give some of its particular cases. In particular, the usual $F(R)$ and $F(T)$ gravity theories are the particular cases of the $F(R,T)$ gravity. In the cosmological context, we find that our new gravitational theory can describes the accelerated expansion of the universe.

14 pages

References in corpus (24)

• Dynamics of dark energy
• f(R,T) gravity
• Dark Energy and the Accelerating Universe
• Dark torsion as the cosmic speed-up
• Modified gravity models of dark energy
• Generalizations of teleparallel gravity and local Lorentz symmetry
• On the $\Lambda$CDM Universe in $f(G)$ gravity
• Attractor Solutions in f(T) Cosmology
• The generalized second law of thermodynamics in Horava-Lifshitz cosmology
• Stability of a non-minimally conformally coupled scalar field in F(T) cosmology
• Noether symmetry of F(T) cosmology with quintessence and phantom scalar fields
• Interacting Modified Variable Chaplygin Gas in Non-flat Universe
• Resolution of dark matter problem in f(T) gravity
• Constraints on coupling constant between dark energy and dark matter
• Statefinder diagnostic and stability of modified gravity consistent with holographic and new agegraphic dark energy
• Turbulence and Little Rip Cosmology
• Interacting entropy-corrected agegraphic-tachyon dark energy
• Cosmology of F(T) gravity and k-essence
• Reconstructing interacting entropy-corrected holographic scalar field models of dark energy in non-flat universe
• Accretion of Phantom Energy and Generalized Second Law of Thermodynamics for Einstein-Maxwell-Gauss-Bonnet Black Hole
• G-essence with Yukawa Interactions
• Thermodynamics of a Schwarzschild Black Hole in Phantom Cosmology with Entropy Corrections
• Running coupling in electroweak interactions of leptons from f(R)-gravity with torsion
• Knot Universes in Bianchi Type I Cosmology

Cited by in corpus (24)

• Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Nonlinear Electrodynamics in $f(T)$ Gravity and Generalized Second Law of Thermodynamics
• Observational constraints on the equation of state of viscous fluid in $f(R,T)$ gravity
• Thermodynamics of the viscous $f(T,B)$ gravity in the new agegraphic dark energy model
• Estimation of Cosmological Parameters, Stability Analysis and Energy Conditions in Viable Modified Gravity
• Effective equation of state in modified gravity and observational constraints
• Thermodynamic Topology of Kiselev-AdS Black Holes within f (R, T) gravity
• Phantom energy supported wormhole model in $f(R,T)$ gravity assuming conformal motion
• Dynamics of Bianchi $V{I}_h$ Universe with Bulk Viscous Fluid in Modified Gravity
• Exploring the Cosmological Model in $f(R,T^{\varphi })$ Gravity with Observational Constraints
• Myrzakulov Gravity in Vielbein Formalism: A Study in Weitzenböck Spacetime
• Metric-Affine Myrzakulov Gravity Theories: Models, Applications and Theoretical Developments
• Reconstruction of DBI-essence dark energy with f(R) gravity and its effect on black hole and wormhole mass accretion
• Einstein-Gauss-Bonnet-Myrzakulov Gravity from $R+F(T,G)$: Numerical Insights and Torsion-Gauss-Bonnet Dynamics in Weitzenböck Spacetime
• Stellar isotropic model in the symmetric teleparallel equivalent of general relativity theory
• Inflation in Myrzakulov $F(R,T)$ Gravity: A Comparative Study in Metric, Symmetric Teleparallel, and Weitzenböck Formalisms
• Cosmologies in $f(R,{\mathcal{L}}_m)$ theory with non-minimal coupling between geometry and matter
• Wald Entropy in Extended Modified Myrzakulov Gravity Theories: \(f(R, T, Q, R_{μν}T^{μν}, R_{μν}Q^{μν}, \dots)\)
• Cosmological Reconstructions in Einstein--Cartan--Myrzakulov Gravity with Torsion and Non-Metricity in the Weitzenböck Geometrical Sector
• Dark Matter Constraints in Myrzakulov $F(R,T)$ Gravity: A Vielbein Approach in Weitzenböck Spacetime with Observational Data
• The Universe according to DESI results
• Black holes in $f(R,T)$ gravity coupled with Euler-Heisenberg electrodynamics
• Metric-Affine Myrzakulov Gravity Theories