Evolution of perturbations in the model of Tsallis holographic dark energy

Abstract

We investigated evolution of metric and density perturbations for Tsallis model of holographic dark energy with energy density $\sim L^{2\gamma -4}$, where $L$ is length of event horizon or inverse Hubble parameter and $\gamma$ is parameter of non-additivity close to $1$. Because holographic dark energy is not an ordinary cosmological fluid but a phenomena caused by boundaries of the universe, the ordinary analysis for perturbations is not suitable. One needs to consider perturbations of the future event horizon. For realistic values of parameters it was discovered that perturbations of dark energy don't grow infinitely but vanish or freeze. We also considered the case of realistic interaction between holographic dark energy and matter and showed that in this case perturbations also can asymptotically freeze with time.

14 p. 9 fig

References in corpus (13)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark Energy and the Accelerating Universe
• Infrared cut-off proposal for the Holographic density
• Approaches to Understanding Cosmic Acceleration
• New infrared cut-off for the holographic scalar fields models of dark energy
• Modified cosmology from extended entropy with varying exponent
• Instability of holographic dark energy models
• Avoidance of Big Rip In Phantom Cosmology by Gravitational Back Reaction
• Alleviating both $H_0$ and ${\sigma }_8$ tensions in Tsallis cosmology
• Cosmological perturbations in the Tsallis holographic dark energy scenarios
• Inflation driven by a holographic energy density
• Viscous fluid holographic inflation