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.

arXiv comment14 pages

References in corpus (50)

• Dynamics of dark energy
• f(R) Theories Of Gravity
• f(R) theories
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• f(R,T) gravity
• Dark Energy and the Accelerating Universe
• Dark torsion as the cosmic speed-up
• Quintom Cosmology: Theoretical implications and observations
• Dark Energy
• Accelerating universe from F(T) gravity
• Reconstruction of $f(T)$ gravity: Rip cosmology, finite-time future singularities and thermodynamics
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Modified gravity models of dark energy
• On the $\Lambda$CDM Universe in $f(G)$ gravity
• Attractor Solutions in f(T) Cosmology
• Noether Symmetry Approach in f(R) Tachyon Model
• 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
• Geometric classification of the torsion tensor in space-time
• Interacting holographic dark energy with logarithmic correction
• A modified theory of gravity with torsion and its applications to cosmology and particle physics
• FRW and Bianchi type I cosmology of f-essence
• 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
• F(T) gravity and k-essence
• Interacting Ricci Dark Energy with Logarithmic Correction
• Interacting entropy-corrected new agegraphic tachyon, K-essence and dilaton scalar field models of dark energy in non-flat universe
• Cosmology of F(T) gravity and k-essence
• Reconstructing interacting entropy-corrected holographic scalar field models of dark energy in non-flat universe
• Modified Chaplygin Gas and Solvable F-essence Cosmologies
• Interacting new generalized Chaplygin gas
• Dynamics of interacting phantom and quintessence dark energies
• 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
• Thermodynamics of phantom energy in the presence of a Reissner-Nordstrom black hole
• Einstein-Cartan gravity with scalar-fermion interactions
• Running coupling in electroweak interactions of leptons from f(R)-gravity with torsion
• Ekpyrotic universes in $F(R)$ Hořava-Lifshitz gravity
• On the stability of spherically symmetric and wormhole solutions supported by the sine-Gordon ghost scalar field
• Statefinder Parameters for Different Dark Energy Models with Variable G Correction in Kaluza-Klein Cosmology
• Interacting entropy-corrected holographic Chaplygin gas model
• Entropic derivation of F=ma for circular motion
• Knot Universes in Bianchi Type I Cosmology
• de Sitter Gauge Theory of Gravity: An Alternative Torsion Cosmology

Cited by in corpus (98)

• f(T) teleparallel gravity and cosmology
• Teleparallel Gravity: From Theory to Cosmology
• Further matters in space-time geometry: $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Analysis of F(R,T) Gravity Models Through Energy Conditions
• Strong gravitational lensing --- A probe for extra dimensions and Kalb-Ramond field
• Impact of the Rastall parameter on perfect fluid spheres
• Anisotropic strange stars under simplest minimal matter-geometry coupling in the $f(R,\mathcal{T})$ gravity
• Cosmic acceleration and energy conditions in $\Lambda$CDM symmetric teleparallel $f(Q)$ gravity
• Higher order corrections of the extended Chaplygin gas cosmology with varying $G$ and $\Lambda$
• The effective field theory approach of teleparallel gravity, $f(T)$ gravity and beyond
• Analysis with observational constraints in $\Lambda$-cosmology in $f(R,T)$ gravity
• Modified teleparallel theories of gravity -- Gauss-Bonnet and trace extensions
• Constraining $f(R)$ gravity by the Large Scale Structure
• Slow-roll inflation in f(R,T) gravity and a modified Starobinsky-like inflationary model
• A Built-in Inflation in the $f(T)$-Cosmology
• Kaluza-Klein cosmological model in $f(R,T)$ gravity with $\Lambda (T)$
• Magnetized strange quark model with Big Rip singularity in $f(R,T)$ gravity
• LCDM Model in f(T) Gravity: Reconstruction, Thermodynamics and Stability
• Gravitational waves in modified teleparallel theories of gravity
• Traversable Wormholes in $f(R,T)$ Gravity
• Effective gravitational coupling in modified teleparallel theories
• Cosmographic parameters in model-independent approaches
• Observational constraints on Myrzakulov gravity
• Cosmological aspects of a hyperbolic solution in $f(R,T)$ gravity
• Bouncing cosmology in modified gravity with higher-order curvature terms
• Cosmic Transit and Anisotropic Models in f(R,T) Gravity
• Cosmological applications of Myrzakulov gravity
• Anisotropic cosmological reconstruction in $f(R,T)$ gravity
• Noether Symmetry Approach for teleparallel-curvature cosmology
• Charged Black Holes in Generalized Teleparallel Gravity
• Kaluza-Klein String Cosmological Model in f(R; T) Theory of Gravity
• Considerations on gravitational waves in higher-order local and non-local gravity
• General approach to the Lagrangian ambiguity in $f(R,T)$ gravity
• Transit cosmological models with observational constraints in f(Q, T) gravity
• Power-law solution for homogeneous and isotropic universe in $f(R,T)$ gravity
• Nonlinear Electrodynamics in $f(T)$ Gravity and Generalized Second Law of Thermodynamics
• Full linear perturbations and localization of gravity on $f(R,T)$ brane
• Thermodynamics of the viscous $f(T,B)$ gravity in the new agegraphic dark energy model
• Observational constraints on the equation of state of viscous fluid in $f(R,T)$ gravity
• A Study of stable wormhole solution with non-commutative geometry in the framework of linear $f(R,{\mathcal{L}}_m,T)$ gravity
• Traversable wormholes with logarithmic shape function in f(R, T) gravity
• Thermodynamics and stability of $f(T,B)$ gravity with viscous fluid by observational constraints
• Compatibility between the scalar field models of tachyon, $k$-essence and quintessence in $f(R,T)$ gravity
• Constraining Bianchi type V universe with recent H(z) and BAO observations in Brans-Dicke theory of gravitation
• Dynamical system analysis of Myrzakulov gravity
• Exact Cosmology in Myrzakulov Gravity
• Estimation of Cosmological Parameters, Stability Analysis and Energy Conditions in Viable Modified Gravity
• Spherically symmetric isothermal fluids in $f(R,T)$ gravity
• Transitioning scenario of Bianchi-I universe within $f\left(R,T\right)$ formalism
• Dynamics of an Anisotropic Universe in $f(R,T)$ Theory
• Kaluza-Klein bulk viscous fluid cosmological models and the validity of the second law of thermodynamics in $f(R,T)$ gravity
• Effective equation of state in modified gravity and observational constraints
• Inflationary Cosmology in the Modified $f(R,T)$ Gravity
• Transit cosmological models in Myrzakulov F(R,T) gravity theory
• Structure growth in $f(Q)$ cosmology
• $f(Q,L_m)$ gravity, and its cosmological implications
• Phantom energy supported wormhole model in $f(R,T)$ gravity assuming conformal motion
• Thermodynamic Topology of Kiselev-AdS Black Holes within f (R, T) gravity
• Imperfect fluid cosmological model in modified gravity
• Dynamics of Bianchi $V{I}_h$ Universe with Bulk Viscous Fluid in Modified Gravity
• A cosmological scenario from the Starobinsky model within the $f(R,T)$ formalism
• Evaporation phenomena in f(T) gravity
• Geodesic Deviation Equation in $\Lambda$CDM $f(T,\mathcal{T})$ gravity
• FLRW Cosmology in Metric-Affine $F(R,Q)$ Gravity
• Bounds on Higher Derivative $f(R,\square R,T)$ Models from Energy Conditions
• Cosmological Tests of $f(R,G,T)$ Dark Energy Model in FRW Universe
• Constructions of $f(R,G,\mathcal{T})$ Gravity from Some Expansions of the Universe
• Myrzakulov $F(T,Q)$ gravity: cosmological implications and constraints
• A study on the dependence of the dimensionless Brans-Dicke parameter on the scalar field and their time dependence
• Minisuperspace Quantization of $f\left(T,B\right)$ Cosmology
• Exploring the Cosmological Model in $f(R,T^{\varphi })$ Gravity with Observational Constraints
• $f(T)$ Cosmology with Nonzero Curvature
• $f(T,B)$ gravity in a Friedmann-Lema\^ıtre-Robertson-Walker universe with nonzero spatial curvature
• 5D Elko spinor field non-minimally coupled to nonmetricity in $f(Q)$ gravity
• Myrzakulov Gravity in Vielbein Formalism: A Study in Weitzenböck Spacetime
• Observational Hubble parameter data constraints on the interactive model of $f(T)$ gravity with particle creation
• Metric-Affine Myrzakulov Gravity Theories: Models, Applications and Theoretical Developments
• Finslerian extension of an anisotropic strange star in the domain of modified gravity
• Realistic f(T) model describing the de Sitter epoch of the dark energy dominated universe
• Reconstruction of DBI-essence dark energy with f(R) gravity and its effect on black hole and wormhole mass accretion
• Cosmological Study in Myrzakulov $F(R,T)$ Quasi-dilaton Massive Gravity
• Einstein-Gauss-Bonnet-Myrzakulov Gravity from $R+F(T,G)$: Numerical Insights and Torsion-Gauss-Bonnet Dynamics in Weitzenböck Spacetime
• Power Law and Logarithmic Ricci Dark Energy Models in Horava-Lifshitz Cosmology
• Stellar isotropic model in the symmetric teleparallel equivalent of general relativity theory
• Late time dynamics of $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Extended holographic Ricci dark energy in chameleon Brans-Dicke cosmology
• 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
• Dark Matter Constraints in Myrzakulov $F(R,T)$ Gravity: A Vielbein Approach in Weitzenböck Spacetime with Observational Data
• Wald Entropy in Extended Modified Myrzakulov Gravity Theories: \(f(R, T, Q, R_{μν}T^{μν}, R_{μν}Q^{μν}, \dots)\)
• The Universe according to DESI results
• Cosmological Reconstructions in Einstein--Cartan--Myrzakulov Gravity with Torsion and Non-Metricity in the Weitzenböck Geometrical Sector
• Black holes in $f(R,T)$ gravity coupled with Euler-Heisenberg electrodynamics
• Black Holes and Non-perturbative Gravitational Waves in $f(R)$ Gravity
• Cosmological models with Big rip and Pseudo rip Scenarios in extended theory of gravity
• Metric-Affine Myrzakulov Gravity Theories