Dynamics of a parametrized dark energy model in $f(R,T)$ gravity

Abstract

We investigate a flat FLRW-model in $f(R,T)$-gravity, which includes the quadratic variation in scalar curvature $R$ and the linear term of the trace of the stress-energy tensor $T$. In turn, we establish the model has the behaviour of the late time Universe, which is accelerated expanding and ends up in a big rip. Using the parametrization of scale factor $a(t)$, we propose a model, which begins with point-type singularity, i.e., the model starts with a point of zero volume, infinite energy density and infinite temperature. The model's behaviour is accelerated expanding at present and $\Lambda$CDM in late times. Finally, the proposed model behaves like a quintessence dark energy model in the present time and is consistent with standard cosmology $\Lambda$CDM in late times.

arXiv comment15 pages, 20 figures

References in corpus (43)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Cosmological Constant - the Weight of the Vacuum
• f(R,T) gravity
• The Case for a Positive Cosmological Lambda-term
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Dark Energy and the Accelerating Universe
• Statefinder -- a new geometrical diagnostic of dark energy
• Exploring the Expanding Universe and Dark Energy using the Statefinder Diagnostic
• BVRI Light Curves for 22 Type Ia Supernovae
• Reconstructing Dark Energy
• Two new diagnostics of dark energy
• Jerk, snap, and the cosmological equation of state
• Reconciling dark energy models with f(R) theories
• The Physics of Cosmic Acceleration
• Approaches to Understanding Cosmic Acceleration
• Reconstruction of some cosmological models in f(R,T) gravity
• Cosmography: Cosmology without the Einstein equations
• Gravity assisted dark energy dominance and cosmic acceleration
• Cosmological dynamics of R^n gravity
• Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling
• Energy conditions and galaxy formation
• Energy conditions in the epoch of galaxy formation
• General Relativistic Energy Conditions: The Hubble expansion in the epoch of galaxy formation
• Study on anisotropic strange stars in $f(R,T)$ gravity: An embedding approach under simplest linear functional of matter-geometry coupling
• Cosmology with hybrid expansion law: scalar field reconstruction of cosmic history and observational constraints
• A litmus test for Lambda
• Mapping the Cosmological Expansion
• A parametric reconstruction of the deceleration parameter
• Cosmic Acceleration and Modified Gravitational Models
• Anisotropic cosmological models in $f(R,T)$ gravity with variable deceleration parameter
• 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
• Junction conditions and thin-shells in perfect-fluid $f\left(R,T\right)$ gravity
• Anisotropic dark energy model with a hybrid scale factor
• Cosmological aspects of a hyperbolic solution in $f(R,T)$ gravity
• Cosmology in scalar-tensor $f(R,T)$ gravity
• Bulk viscous embedded hybrid dark energy models
• Statefinder diagnostic for modified Chaplygin gas cosmology in f(R,T) gravity with particle creation
• The High-z Quasar Hubble Diagram
• Interpretation of $f(\mathsf{R},\mathsf{T})$ gravity in terms of a conserved effective fluid

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• Collapsing scenarios of K-essence generalized Vaidya spacetime under $f(\bar{R},\bar{T})$ gravity
• Cosmological effects on $f(\bar{R},\bar{T})$ gravity through a non-standard theory