An Alternative f (R, T) Gravity Theory and the Dark Energy Problem

Abstract

Recently, a generalized gravity theory was proposed by Harko etal where the Lagrangian density is an arbitrary function of the Ricci scalar R and the trace of the stress-energy tensor T, known as F(R,T) gravity. In their derivation of the field equations, they have not considered conservation of the stress-energy tensor. In the present work, we have shown that a part of the arbitrary function f(R,T) can be determined if we take into account of the conservation of stress-energy tensor, although the form of the field equations remain similar. For homogeneous and isotropic model of the universe the field equations are solved and corresponding cosmological aspects has been discussed. Finally, we have studied the energy conditions in this modified gravity theory both generally and a particular case of perfect fluid with constant equation of state.

12 pages, 3 figures, 1 table, Accepted for publication in Gen. Rel. Grav

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• Strange stars in $f(R,\mathcal{T})$ gravity
• Strong gravitational lensing --- A probe for extra dimensions and Kalb-Ramond field
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• Wormholes in exponential $f(R,T)$ gravity
• Anisotropic strange stars under simplest minimal matter-geometry coupling in the $f(R,\mathcal{T})$ gravity
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Decoupling gravitational sources by MGD approach in Rastall gravity
• Cosmological Evolution in f(R,T) theory with Collisional Matter
• Dynamical Instability of Spherical Star in $f(R,T)$ gravity
• A cosmographic analysis of holographic dark energy models
• Existence of bulk viscous universe in $f(R,T)$ gravity and confrontation with observational data
• The cosmology in f(R,T) gravity without dark energy
• A conservative energy-momentum tensor in the $f(R,T)$ gravity and its implications for the phenomenology of neutron stars
• Growth factor in $f(T,\mathcal{T})$ gravity
• A Dynamical System Analysis of $f(R,T)$ Gravity
• Horndeski theories confront the Gravity Probe B experiment
• Minimal dark energy: key to sterile neutrino and Hubble constant tensions?
• $H_0$ Tension in Torsion-based Modified Gravity
• Traversable wormholes in the traceless $f(R,T)$ gravity
• Bulk viscous cosmological model in $f(R,T)$ theory of gravity
• Slow-roll inflation in $f(R,T)$ gravity with a $RT$ mixing term
• Wormhole formation in massive gravity: An analytic description
• Models of Collapsing and Expanding Anisotropic Gravitating Source in $f(R,T)$ Theory of Gravity
• LRS Bianchi I model with constant expansion rate in $f(R,T)$ gravity
• Plane symmetric model in $f(R,T)$ gravity
• Thermodynamic Topology of Kiselev-AdS Black Holes within f (R, T) gravity
• Analytic Solutions and Observational support: A study of $f(R,T)$ gravity with $f(R,T)=R+h(T)$
• Dynamic Field Theory and Equations of Motion in Cosmology
• 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
• Discrete quantum spectrum of black holes
• Role of Curvature-Matter Coupling on Anisotropic Strange Stars
• Wormhole generating function in $f(R,T)$ gravity
• Finslerian extension of an anisotropic strange star in the domain of modified gravity
• Galactic rotation curves of spiral galaxies and dark matter in f(R,T) gravity theory
• Lorentzian wormholes supported by tachyon matter
• Well behaved class of Heintzmann's solution within $f(R,T)$ framework
• Investigating Evolving Wormholes in $f(R,T)$ Gravity
• Study of Anisotropic Polytropes in $f(\mathcal{R},\mathrm{T})$ Theory
• Impact of projective curvature tensor in $f\left(R,G\right)$, $f\left(R,T\right)$ and $f\left(R,L_m\right)$-gravity
• Matter Creation Cosmologies and Accelerated Expansion
• Galactic dynamics in the presence of scalaron: A perspective from $\mathbf{f}(\mathbf{R})$ gravity
• Dynamical Wormhole Solutions in $f(R,T)$ Gravity
• Evolution and thermodynamics of new holographic dark energy with bulk viscosity in modified $f(R,T)$ gravity
• Is Dark Energy an Effective Manifestation of Non-equilibrium Thermodynamics? -- Insights from DESI