A transition from a decelerated to an accelerated phase of the universe expansion from the simplest non-trivial polynomial function of T in the f(R,T) formalism

Abstract

In this work we present cosmological solutions from the simplest non-trivial $T$-dependence in $f(R,T)$ theory of gravity, with $R$ and $T$ standing for the Ricci scalar and trace of the energy-momentum tensor, respectively. Although such an approach yields a highly non-linear differential equation for the scale factor, we show that it is possible to obtain analytical solutions for the cosmological parameters. For some values of the free parameters, the model is able to predict a transition from a decelerated to an accelerated expansion of the universe.

References in corpus (57)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• f(R) Theories Of Gravity
• Modified Gravity and Cosmology
• f(R) theories
• Cosmological Imprint of an Energy Component with General Equation of State
• 4D Gravity on a Brane in 5D Minkowski Space
• f(R,T) gravity
• Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
• Disappearing cosmological constant in f(R) gravity
• Quintessence: A Review
• f(R,L_m) gravity
• Reconstruction of some cosmological models in f(R,T) gravity
• Solar System constraints to general f(R) gravity
• Further matters in space-time geometry: $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Modified gravity with arbitrary coupling between matter and geometry
• Limit to General Relativity in f(R) theories of gravity
• The Newtonian Limit of F(R) gravity
• Dynamics of scalar perturbations in f(R,T) gravity
• Cosmological and Solar System Consequences of f(R,T) Gravity Models
• Cosmological consequences of a Chaplygin gas dark energy
• Solar System tests DO rule out 1/R gravity
• f(R,T) Cosmological Models in Phase Space
• Theoretical Models of Dark Energy
• Cosmological solutions from Induced Matter Model applied to 5D f(R,T) gravity and the shrinking of the extra coordinate
• Collapsing spherical stars in f(R) gravity
• Direct Determination of the Kinematics of the Universe and Properties of the Dark Energy as Functions of Redshift
• New insights on the matter-gravity coupling paradigm
• Neutron stars in Starobinsky model
• Bianchi Type-$V$ cosmology in $f(R,T)$ gravity with $\Lambda (T)$
• Extended $f(R,L_m)$ gravity with generalized scalar field and kinetic term dependences
• Dynamical Instability and Expansion-free Condition in $f(R,T)$ Gravity
• Palatini formulation of modified gravity with a nonminimal curvature-matter coupling
• Structure of neutron stars in R-squared gravity
• Evolution of Axially Symmetric Anisotropic Sources in $f(R,T)$ Gravity
• Singular Inflationary Universe from $F(R)$ Gravity
• A complete cosmological scenario from $f(R,T^{\phi })$ gravity theory
• Delicate f(R) gravity models with disappearing cosmological constant and observational constraints on the model parameters
• $f(R)$ gravity constrained by PPN parameters and stochastic background of gravitational waves
• Configurational entropy in $f(R,T)$ brane models
• Dynamical Instability of Spherical Star in $f(R,T)$ gravity
• Interacting Quintessence Models of Dark Energy
• Cosmic acceleration from modified gravity with Palatini formalism
• Bianchi-V string cosmology with power law expansion in $f(R,T)$ Gravity
• Dynamics of interacting phantom and quintessence dark energies
• Braneworld cosmology in $f(R,T)$ gravity
• String theory, cosmology and varying constants
• An effective quintessence field with a power-law potential
• How delicate are the $f(R)$ gravity models with disappearing cosmological constant?
• Information content in $F(R)$ brane models with non-constant curvature
• Two scalar field cosmology from coupled one-field models
• Loop Quantum Cosmology Matter Bounce Reconstruction from $F(R)$ Gravity Using an Auxiliary Field
• Coupled scalar fields Oscillons and Breathers in some Lorentz Violating Scenarios
• Fluctuating solutions for the evolution of domain walls
• Cosmological observations in non-local $F(R)$ cosmology
• False Vacuum Transitions - Analytical Solutions and Decay Rate Values

Cited by in corpus (26)

• The simplest non-minimal matter-geometry coupling in the $f(R,T)$ cosmology
• Analytical general solutions for static wormholes in $f(R,T)$ gravity
• Non-exotic matter wormholes in a trace of the energy-momentum tensor squared gravity
• Cosmological inviability of $f(R,T)$ gravity
• Anisotropic cosmological models in $f(R,T)$ gravity with variable deceleration parameter
• Strange stars in Krori-Barua space-time under f(R; T) gravity
• A periodic varying deceleration parameter in $f(R,T)$ gravity
• Wormhole Modeling Supported by Non-Exotic Matter
• Analysis with observational constraints in $\Lambda$-cosmology in $f(R,T)$ gravity
• Traversable Wormholes in $f(R,T)$ Gravity
• Complexity analysis of Cylindrically Symmetric Self-gravitating Dynamical System in $f(R,T)$ Theory of Gravity
• Magnetized strange quark matter in $f(R,T)$ gravity with bilinear and special form of time varying deceleration parameter
• A conservative energy-momentum tensor in the $f(R,T)$ gravity and its implications for the phenomenology of neutron stars
• Temporally Varying Universal Gravitational "Constant" and Speed of Light in Energy Momentum Squared Gravity
• Late-time cosmological evolution of a general class of f(R, T) gravity with minimal curvature-matter coupling
• The trace of the trace of the energy-momentum tensor-dependent Einstein's field equations
• Investigating the Physical Properties of Traversable Wormholes in the Modified $f(R,T)$ Gravity
• Reconstruction of $f(R,T)$ gravity model via the Raychaudhuri equation
• Phantom energy supported wormhole model in $f(R,T)$ gravity assuming conformal motion
• A cosmological scenario from the Starobinsky model within the $f(R,T)$ formalism
• FLRW accelerating universe with interactive dark energy
• The galaxy rotation curves in the $f(R,T)$ modified gravity formalism
• FRW dark energy cosmological model with hybrid expansion law
• Bianchi type-III THDE quintessence model with hybrid expansion law
• Dark Energy Behavior from Static Equation of State in Non-Minimally Coupled Gravity with Scalar Deformation
• Late time cosmological solutions in $f(R,T)$ gravity in a viscous Universe