Cosmology in scalar-tensor $f(R,T)$ gravity

Abstract

In this work, we use reconstruction methods to obtain cosmological solutions in the recently developed scalar-tensor representation of $f(R,T)$ gravity. Assuming that matter is described by an isotropic perfect fluid and the spacetime is homogeneous and isotropic, i.e., the Friedmann-Lemaître-Robsertson-Walker (FLRW) universe, the energy density, the pressure, and the scalar field associated with the arbitrary dependency of the action in $T$ can be written generally as functions of the scale factor. We then select three particular forms of the scale factor: an exponential expansion with $a(t)\propto e^t$ (motivated by the de Sitter solution); and two types of power-law expansion with $a(t)\propto t^{1/2}$ and $a(t)\propto t^{2/3}$ (motivated by the behaviors of radiation- and matter-dominated universes in general relativity, respectively). A complete analysis for different curvature parameters $k=\{-1,0,1\}$ and equation of state parameters $w=\{-1,0,1/3\}$ is provided. Finally, the explicit forms of the functions $f\left(R,T\right)$ associated with the scalar-field potentials of the representation used are deduced.

arXiv comment14 pages, 18 figures

References in corpus (51)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• Extended Theories of Gravity
• f(R,T) gravity
• Curvature Quintessence
• From k-essence to generalised Galileons
• Extra force in $f(R)$ modified theories of gravity
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• f(R,L_m) gravity
• Reconciling dark energy models with f(R) theories
• Reconstruction of f(R, T) gravity describing matter dominated and accelerated phases
• Reconstruction of some cosmological models in f(R,T) gravity
• Coupling matter in modified $Q$-gravity
• Covariant conservation of energy momentum in modified gravities
• f(R, T, R_μνT^μν) gravity phenomenology and ΛCDM universe
• Further matters in space-time geometry: $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Nonminimal coupling of perfect fluids to curvature
• $f(T,\mathcal{T})$ gravity and cosmology
• Generalized curvature-matter couplings in modified gravity
• Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling
• Dynamics of scalar perturbations in f(R,T) gravity
• Cosmological and Solar System Consequences of f(R,T) Gravity Models
• Modelling wormholes in $f(R,T)$ gravity
• f(R,T) Cosmological Models in Phase Space
• Metric-Palatini gravity unifying local constraints and late-time cosmic acceleration
• Static Spherically Symmetric Wormholes in $f(R,T)$ Gravity
• Nonminimal torsion-matter coupling extension of f(T) gravity
• Reconstructing $f(R,T)$ gravity from holographic dark energy
• Analytical general solutions for static wormholes in $f(R,T)$ gravity
• Compact stars in $f(R,T)$ gravity
• Dark Matter From f(R,T) Gravity
• Hybrid metric-Palatini gravity
• Gravitational induced particle production through a nonminimal curvature-matter coupling
• Cosmological solutions from Induced Matter Model applied to 5D f(R,T) gravity and the shrinking of the extra coordinate
• Cosmology of hybrid metric-Palatini f(X)-gravity
• Extended $f(R,L_m)$ gravity with generalized scalar field and kinetic term dependences
• Hybrid modified gravity unifying local tests, galactic dynamics and late-time cosmic acceleration
• The dark side of gravity: Modified theories of gravity
• Cosmological solutions in generalized hybrid metric-Palatini gravity
• Junction conditions and thin-shells in perfect-fluid $f\left(R,T\right)$ gravity
• Cosmological expansion and the uniqueness of gravitational action
• Beyond Einstein's General Relativity: Hybrid metric-Palatini gravity and curvature-matter couplings
• Unveiling the Dynamics of the Universe
• Cosmological phase space of generalized hybrid metric-Palatini theories of gravity
• A Lagrangian description of interacting dark energy
• Gravitationally Induced Particle Production through a Nonminimal Torsion-Matter Coupling
• A model independent approach to the study of $f(R)$ cosmologies with expansion histories close to $\Lambda$CDM
• Sudden singularities in generalized hybrid metric-Palatini cosmologies

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• Dynamical reconstruction of the $\Lambda$CDM model in the scalar-tensor representation of $f\left(Q,T\right)$ gravity
• Irreversible Geometrothermodynamics of Open Systems in Modified Gravity
• Cosmological effects on $f(\bar{R},\bar{T})$ gravity through a non-standard theory
• Collapsing scenarios of K-essence generalized Vaidya spacetime under $f(\bar{R},\bar{T})$ gravity
• Multi-kink braneworld configurations in the scalar-tensor representation of $f(R,T)$ gravity
• Growth of cosmic perturbations in the modified $f(R,T)$ gravity
• NEC violation in $f(\bar{R},\bar{T})$ gravity in the context of a non-canonical theory via modified Raychaudhuri equation
• Addressing the DESI DR2 Phantom-Crossing Anomaly and Enhanced $H_0$ Tension with Reconstructed Scalar-Tensor Gravity
• Modified $f(R,T)$ theory in light of gravitational wave standard sirens
• Scalar-tensor representation to $f(R,T)-$brane with Gauss-Bonnet gravity
• Scalar-tensor baryogenesis: a scalar-tensor completion of gravitational baryogenesis
• Cosmological implications and causality in $f(R,L_m,T)$ gravity theory with observational constraints
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