The simplest non-minimal matter-geometry coupling in the $f(R,T)$ cosmology

Abstract

The $f(R,T)$ gravity is an extended theory of gravity in which the gravitational action contains general terms of both the Ricci scalar $R$ and trace of the energy-momentum tensor $T$. In this way, $f(R,T)$ models are capable of describing a non-minimal coupling between geometry (through terms in $R$) and matter (through terms in $T$). In this article we construct a cosmological model from the simplest non-minimal matter-geometry coupling within the $f(R,T)$ gravity formalism, by means of an effective energy-momentum tensor, given by the sum of the usual matter energy-momentum tensor with a dark energy contribution, with the latter coming from the matter-geometry coupling terms. We apply the energy conditions to our solutions in order to obtain a range of values for the free parameters of the model which yield a healthy and well-behaved scenario. For some values of the free parameters which are submissive to the energy conditions application, it is possible to predict a transition from a decelerated period of the expansion of the universe to a period of acceleration (dark energy era). We also propose further applications of this particular case of the $f(R,T)$ formalism in order to check its reliability in other fields, rather than cosmology.

arXiv comment8 pages (two column) 9 figures

References in corpus (40)

• 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
• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• f(R,T) gravity
• Gravity coupled with matter and foundation of non-commutative geometry
• f(R,L_m) gravity
• Dark Energy Dominance and Cosmic Acceleration in First Order Formalism
• Reconstruction of some cosmological models in f(R,T) gravity
• Hubble parameter measurement constraints on the redshift of the deceleration-acceleration transition, dynamical dark energy, and space curvature
• Modified gravity with arbitrary coupling between matter and geometry
• Stellar equilibrium configurations of compact stars in $f(R,T)$ gravity
• Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling
• Twilight for the energy conditions?
• Cosmological and Solar System Consequences of f(R,T) Gravity Models
• Dark energy as the weight of violating energy conservation
• Compact stars in $f(R,T)$ gravity
• Dark Matter From f(R,T) Gravity
• Cosmographic bounds on the cosmological deceleration-acceleration transition redshift in $f(\mathcal{R})$ gravity
• Locally Rotationally Symmetric Bianchi Type $I$ Cosmology in $f(R,T)$ Gravity
• Gravastars in $f(R,\mathcal{T})$ 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 with hybrid expansion law: scalar field reconstruction of cosmic history and observational constraints
• Friedmann model with viscous cosmology in modified $f(R,T)$ gravity theory
• New insights on the matter-gravity coupling paradigm
• Accelerated expansion from a non-minimal gravitational coupling to matter
• Gravitational waves in the $f(R,T)$ theory of gravity
• Palatini formulation of modified gravity with a nonminimal curvature-matter coupling
• Mimicking dark matter through a non-minimal gravitational coupling with matter
• A complete cosmological scenario from $f(R,T^{\phi })$ gravity theory
• Cosmological implications of modified gravity induced by quantum metric fluctuations
• Configurational entropy in $f(R,T)$ brane models
• Generalized second law of thermodynamics in f(R,T) theory of gravity
• Modified Gravity with a Non-minimal Gravitational Coupling to Matter
• 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
• Consequences of energy conservation violation: Late time solutions of $\Lambda (T)CDM$ subclass of $f(R,T)$ gravity using dynamical system approach
• Braneworld cosmology in $f(R,T)$ gravity
• Dark matter as a dynamic effect due to a non-minimal gravitational coupling with matter

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• Hydrostatic equilibrium configurations of neutron stars in a non-minimal geometry-matter coupling theory of gravity
• Interacting Tsallis and Rényi Holographic Dark Energy with Hybrid Expansion Law
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• Formation of Singularity and Apparent Horizon for Dissipative Collapse in $f(R,T)$ Theory of Gravity
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• Hamilton-Jacobi analysis of noncanonical inflation in $f(R,T)$ gravity: Constraints from Planck/ACT data, and theoretical bounds