Interacting Tsallis and Rényi Holographic Dark Energy with Hybrid Expansion Law

Abstract

The manuscript presents the dynamics of Tsallis holographic dark energy (THDE) and Rényi holographic dark energy (RHDE) prescribed by a non-linear interaction in the FRW spacetime and for a scale factor evolving with a composite power law-exponential (hybrid) form. To construct the energy densities of these holographic dark energy models, I assume the Hubble cutoff to be the IR limit. I find that the deceleration parameter undergoes a signature flipping at a redshift $z$ consistent with observations. The EoS parameter ${\omega }_{de}$ for both the HDE models exhibit quite contrasting dynamical behavior despite assuming values close to $-1$ at $z=0$ and therefore consistent with current observations. Next, I find the squared sound speed $c_s^2$ to be positive for the THDE model ensuring stability against perturbations, whereas for the RHDE model, $c_s^2<0$ implying instability against perturbations. Furthermore, I analyzed the evolutionary behavior of the EoS parameter of the HDE models by constructing the ${\omega }_{de}-{\omega }_{de}^{{}^{\prime }}$ plane and find that the plane lies in the freezing region for the THDE model and in the thawing region for the RHDE model.

Revision submitted to Astrophysics and Space Science

References in corpus (20)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Beyond the Cosmological Standard Model
• Dark Energy-Dark Matter Interaction and putative violation of the Equivalence Principle from the Abell Cluster A586
• Hubble parameter measurement constraints on the redshift of the deceleration-acceleration transition, dynamical dark energy, and space curvature
• Inflationary cosmology in modified gravity theories
• Entropic Accelerating Universe
• The simplest non-minimal matter-geometry coupling in the $f(R,T)$ cosmology
• Toward a solution of the coincidence problem
• Accelerated cosmos in a non-extensive setup
• Comprehensive Analysis of a Non-Singular Bounce in $f(R,T)$ Gravitation
• Accelerating Universe in Hybrid and Logarithmic Teleparallel Gravity
• Entropic cosmology in a dissipative universe
• Effects of time-varying $\beta$ in SNLS3 on constraining interacting dark energy models
• Does information entropy play a role in the expansion and acceleration of the Universe?
• Temporally Varying Universal Gravitational "Constant" and Speed of Light in Energy Momentum Squared Gravity
• A multi-wavelength analysis of a collection of short-duration GRBs observed between 2012-2015
• Thermodynamical description of the ghost dark energy model

Cited by in corpus (4)

• Growth Rate and Configurational Entropy in Tsallis Holographic Dark Energy
• Tsallis Holographic Dark Energy Reconsidered
• Tsallis holographic dark energy with power law ansatz approach
• Cosmology of the interacting Tsallis holographic dark energy in $f(R,T)$ gravity framework