Cosmology of Holographic and New Agegraphic $f(R,T)$ Models

Abstract

We consider the $f(R,T)$ theory, where $R$ is the scalar curvature and $T$ is the trace of energy-momentum tensor, as an effective description for the holographic and new agegraphic dark energy and reconstruct the corresponding $f(R,T)$ functions. In this study, we concentrate on two particular models of $f(R,T)$ gravity namely, $R+2A(T)$ and $B(R)+\lambda T$. We conclude that the derived $f(R,T)$ models can represent phantom or quintessence regimes of the universe which are compatible with the current observational data. In addition, the conditions to preserve the generalized second law of thermodynamics are established.

27 pages, 12 figures

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• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• f(R,T) gravity
• Modified teleparallel gravity: inflation without inflaton
• A New Model of Agegraphic Dark Energy
• Thermodynamics in $F(R)$ gravity with phantom crossing
• Quintessence reconstruction of the new agegraphic dark energy model
• Generalized second law in modified theory of gravity
• Reconstructing f(R) modified gravity from ordinary and entropy-corrected versions of the holographic and new agegraphic dark energy models
• Reconstructing f(R) theory according to holographic dark energy
• Reconstructing $f(R)$ Theory from Ricci Dark Energy

Cited by in corpus (19)

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• Cosmological viable f(R,T) dark energy model: dynamics and stability
• Energy Conditions in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Existence of stable wormholes on a noncommutative-geometric background in modified gravity
• Dynamical Instability of Spherical Star in $f(R,T)$ gravity
• Dynamical Analysis of Cylindrically Symmetric Anisotropic Sources in $f(R,T)$ Gravity
• Cosmological Analysis of Scalar Field Models in f(R,T) Gravity
• Bianchi Type $I$ Cosmology in $f(R,T)$ Gravity
• Higher-Derivative $f(R,\square R,T)$ Theories of Gravity
• Models of Collapsing and Expanding Anisotropic Gravitating Source in $f(R,T)$ Theory of Gravity
• Reconstructing QCD ghost $f(R,T)$ models
• Dynamics of Bianchi $V{I}_h$ Universe with Bulk Viscous Fluid in Modified Gravity
• Cosmological Evolution of Pilgrim Dark Energy
• Exact Solutions and Conserved Quantities in f(R,T) Gravity
• Analysis of $f(R)$ Theory Corresponding to NADE and NHDE
• Role of Curvature-Matter Coupling on Anisotropic Strange Stars
• Cosmic evolution in the background of non-minimal coupling in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Holographic reconstruction of k-essence model with Tsallis and the most generalized Nojiri-Odintsov version of holographic dark energy