Cosmological and Solar System Consequences of f(R,T) Gravity Models

Abstract

To find more deliberate f(R,T) cosmological solutions, we proceed our previous paper further by studying some new aspects of the considered models via investigation of some new cosmological parameters/quantities to attain the most acceptable cosmological results. Our investigations are performed by applying the dynamical system approach. We obtain the cosmological parameters/quantities in terms of some defined dimensionless parameters that are used in constructing the dynamical equations of motion. The investigated parameters/quantities are the evolution of the Hubble parameter and its inverse, the "weight function", the ratio of the matter density to the dark energy density and its time variation, the deceleration, the jerk and the snap parameters, and the equation-of-state parameter of the dark energy. We numerically examine these quantities for two general models $R+\alpha R^{-n}+\sqrt{-T}$ and $R\log {[\alpha R]}^q+\sqrt{-T}$. All considered models have some inconsistent quantities (with respect to the available observational data), except the model with n=-0.9 which has more consistent quantities than the other ones. By considering the ratio of the matter density to the dark energy density, we find that the coincidence problem does~not refer to a unique cosmological event, rather, this coincidence also occurred in the early universe. We also present the cosmological solutions for an interesting model $R+c_1\sqrt{-T}$ in the non--flat FLRW metric. We show that this model has an attractor solution for the late times, though with $w^{(\text{DE})}=-1/2$. This model indicates that the spatial curvature density parameter gets negligible values until the present era, in which it acquires the values of the order $10^{-4}$ or $10^{-3}$. As the second part of this work, we consider the weak-field [It continues ...]

a few changes done

References in corpus (27)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R,T) gravity
• Dark Matter Candidates from Particle Physics and Methods of Detection
• Extra force in $f(R)$ modified theories of gravity
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• f(R,L_m) gravity
• Dark matter and cosmic structure
• Solar System constraints to general f(R) gravity
• Nonminimal coupling of perfect fluids to curvature
• Modified gravity with arbitrary coupling between matter and geometry
• Limit to General Relativity in f(R) theories of gravity
• Dark Energy and Dark Gravity
• Loop Quantum Cosmology: An Overview
• Dark Matter Evidence, Particle Physics Candidates and Detection Methods
• Do f(R) theories matter?
• Violation of First Law of Thermodynamics in f(R,T) Gravity
• Thermodynamic Behavior of particular $f(R,T)$ Gravity Models
• A new look at loop quantum gravity
• Modified Brans-Dicke Theory in Arbitrary Dimensions
• Inhomogeneous viscous fluids in FRW universe and finite-future time singularities
• Comments on "Solar System constraints to general f(R) gravity"
• Non-commutative multi-dimensional cosmology
• On Dynamics of Brans--Dicke Theory of Gravitation
• Gravitomagnetism and Non-commutative Geometry
• Noncommutative Double Scalar Fields in FRW Cosmology as Cosmical Oscillators
• Inhomogeneities in dusty universe - a possible alternative to dark energy?

Cited by in corpus (118)

• Stellar equilibrium configurations of compact stars in $f(R,T)$ gravity
• Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling
• Static Spherically Symmetric Wormholes in $f(R,T)$ Gravity
• The simplest non-minimal matter-geometry coupling in the $f(R,T)$ cosmology
• Compact stars in $f(R,T)$ gravity
• Dark Matter From f(R,T) Gravity
• Study on anisotropic strange stars in $f(R,T)$ gravity: An embedding approach under simplest linear functional of matter-geometry coupling
• Gravastars in $f(R,\mathcal{T})$ gravity
• Possible Formation of Compact Stars in $f(R,T)$ Gravity
• Exploring physical features of anisotropic strange stars beyond standard maximum mass limit in $f\left(R,\mathcal{T}\right)$ gravity
• Wormholes in $R^2$-gravity within the $f(R,T)$ formalism
• Gravitational waves in the $f(R,T)$ theory of gravity
• Stellar equilibrium configurations of white dwarfs in the $f(R,T)$ gravity
• Strange stars in $f(R,\mathcal{T})$ gravity
• On wormhole formation in $f(\text{R},\text{T})$ gravity: varying Chaplygin gas and barotropic fluid
• Stability of the Einstein static Universe in $f(R,T)$ gravity
• Dynamical Instability and Expansion-free Condition in $f(R,T)$ Gravity
• Anisotropic strange star with Tolman-Kuchowicz metric under $f(R,T)$ gravity
• Cosmological viable Mimetic $f(R)$ and $f(R,T)$ theories via Noether symmetry
• Evolution of Axially Symmetric Anisotropic Sources in $f(R,T)$ Gravity
• Impact of the Rastall parameter on perfect fluid spheres
• Bouncing cosmology in $f(R,T)$ gravity
• Study of Embedded Class-I Fluid Spheres in $f(R,T)$ Gravity with Karmarkar Condition
• Anisotropic strange stars under simplest minimal matter-geometry coupling in the $f(R,\mathcal{T})$ gravity
• Bouncing cosmological solutions from f(R,T) gravity
• Cosmological Inflation in f(Q, T) Gravity
• Quantum Cosmology of $f(R,T)$ gravity
• Decoupling gravitational sources by MGD approach in Rastall gravity
• Existence of Compact Structures in $f(R,T)$ Gravity
• Existence of stable wormholes on a noncommutative-geometric background in modified gravity
• Anisotropic fluid spheres in the framework of $f(R,\mathcal{T})$ gravity theory
• Analysis with observational constraints in $\Lambda$-cosmology in $f(R,T)$ gravity
• Slow-roll inflation in f(R,T) gravity and a modified Starobinsky-like inflationary model
• Phantom fluid supporting traversable wormholes in alternative gravity with extra material terms
• Radial oscillations and stability of compact stars in $f(R,T)=R+2\beta T$ gravity
• Dynamical Instability of Spherical Star in $f(R,T)$ gravity
• 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
• $f(R,T)$ models applied to Baryogenesis
• Anisotropic spheres via embedding approach in $\mathcal{R}+\beta {\mathcal{R}}^2$ gravity with matter coupling
• Neutron stars in $f(R,T)$ gravity with conserved energy-momentum tensor: Hydrostatic equilibrium and asteroseismology
• A connection between Rastall-type and f(R, T) gravities
• Late time cosmological approach in mimetic $f(R,T)$ gravity
• Buchdahl model in f(R, T) gravity: A comparative study with standard Einstein's gravity
• Static Traversable Wormholes in $f(R,T)=R+2\alpha \ln T$ Gravity
• Cosmological aspects of a hyperbolic solution in $f(R,T)$ gravity
• Charged Gravastars with Conformal Motion in f(R,T) Gravity
• Cosmology in scalar-tensor $f(R,T)$ gravity
• Modelling Casimir Wormholes in Extended Gravity
• Dynamical Analysis of Cylindrically Symmetric Anisotropic Sources in $f(R,T)$ Gravity
• Bouncing cosmology in modified gravity with higher-order curvature terms
• A conservative energy-momentum tensor in the $f(R,T)$ gravity and its implications for the phenomenology of neutron stars
• Morris-Thorne Wormholes in $f(R,T)$ modified theory of gravity
• Consequences of energy conservation violation: Late time solutions of $\Lambda (T)CDM$ subclass of $f(R,T)$ gravity using dynamical system approach
• Charged quark stars in $f(R,T)$ gravity
• Observational Constraints and Cosmological Implications of Scalar-Tensor $f(R,T)$ Gravity
• Stable and self consistent charged gravastar model within the framework of $f(R,T)$ gravity
• Phantom cosmology in an Extended Theory of Gravity
• Braneworld cosmology in $f(R,T)$ gravity
• Cosmic Acceleration From Matter-Curvature Coupling
• Observational constraints on the equation of state of viscous fluid in $f(R,T)$ gravity
• Cosmological consequences and statefinder diagnosis of a non-interacting generalized Chaplygin gas 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
• Higher-Derivative $f(R,\square R,T)$ Theories of Gravity
• The Einstein dark energy model
• Tolman IV fluid sphere in f(R, T) gravity
• Energy nonconservation as a link between $f(R,T)$ gravity and noncommutative quantum theory
• Rapidly rotating neutron stars in $f(R,T)$ gravity
• Accelerating models with a hybrid scale factor in extended gravity
• Compact stellar models in modified gravity
• Late-time cosmological evolution of a general class of f(R, T) gravity with minimal curvature-matter coupling
• Estimation of Cosmological Parameters, Stability Analysis and Energy Conditions in Viable Modified Gravity
• Fully conservative $f(R,T)$ gravity and Solar System constraints
• Study of the charged super-Chandrasekhar limiting mass white dwarfs in the $f(R,\mathcal{T})$ gravity
• Transitioning scenario of Bianchi-I universe within $f\left(R,T\right)$ formalism
• Spherically symmetric isothermal fluids in $f(R,T)$ gravity
• Investigating the Physical Properties of Traversable Wormholes in the Modified $f(R,T)$ Gravity
• $f(Q,L_m)$ gravity, and its cosmological implications
• Interpretation of $f(\mathsf{R},\mathsf{T})$ gravity in terms of a conserved effective fluid
• Cosmological models with squared trace in modified gravity
• Dynamical reconstruction of the $\Lambda$CDM model in scalar-tensor $f(R,T)$ gravity
• Dynamical conditions and causal transport of dissipative spherical collapse in $f(R,T)$ gravity
• A cosmological scenario from the Starobinsky model within the $f(R,T)$ formalism
• Curvature-Matter Coupling Effects on Axial Gravitational Waves
• Configurational entropy as a bounding of Gauss-Bonnet braneworld models
• Chameleon Field Dynamics During Inflation
• Singularity-free nonexotic compact star in $f(R,T)$ gravity
• The galaxy rotation curves in the $f(R,T)$ modified gravity formalism
• Search for the $f(R,T)$ gravity functional form via gaussian processes
• Role of Curvature-Matter Coupling on Anisotropic Strange Stars
• Accelerating model of flat universe in $f(R,T)$ gravity
• Irreversible Geometrothermodynamics of Open Systems in Modified Gravity
• Effects of Rastall parameter on perturbation of dark sectors of the Universe
• Perturbation Spectra of Warm Inflation in $f(Q,T)$ Gravity
• $\kappa (R,T)$ 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
• Interacting Dark Side of Universe Through Generalized Uncertainty Principle
• Energy-momentum squared symmetric Teleparallel gravity: $f(Q,T_{\mu \nu }{T}^{\mu \nu })$ gravity
• Stellar structure in $f(R,T)$ gravity: some exact solutions
• Charged black hole solutions in $f(R,T)$ gravity coupled to nonlinear electrodynamics
• Cosmic Acceleration and Geodesic Deviation in Chameleon Scalar Field Model
• Gödel and Gödel-type solutions in the Palatini $f(R,T)$ gravity theory
• Well behaved class of Heintzmann's solution within $f(R,T)$ framework
• Ether and Relativity
• Cosmological dynamics of interacting dark energy and dark matter in $f(Q)$ gravity
• Cosmological Solutions of Chameleon Scalar Field Model
• Strong Lensing Effect and Quasinormal Modes of Oscillations of Black Holes in $\mathbf{f}(\mathbf{R},\mathbf{T})$ Gravity Theory
• Axially Symmetric Shear-free Fluids in $f(R,T)$ Gravity
• Slow-roll inflation in $f\left(R,T,R_{ab}{T}^{ab}\right)$ gravity
• Study of Anisotropic Polytropes in $f(\mathcal{R},\mathrm{T})$ Theory
• Matter perturbations in Einstein dark energy model
• Black holes in $f(R,T)$ gravity coupled with Euler-Heisenberg electrodynamics
• White dwarf cooling in $f(R,T)$ gravity
• Dynamics of General Barotropic Stellar Fluid in the Framework of $R+2\alpha T$ Gravity
• Formation of Singularity and Apparent Horizon for Dissipative Collapse in $f(R,T)$ Theory of Gravity
• Intermediate Coupling Regime in Dilatonic $f(R,T)$ Inflationary Universe
• Late time cosmological solutions in $f(R,T)$ gravity in a viscous Universe
• Metric-Affine Myrzakulov Gravity Theories