Tachyon model of Tsallis holographic dark energy

TL;DR

This paper explores the relationship between tachyon dark energy models and Tsallis holographic dark energy in different universe geometries, analyzing scalar field dynamics and their implications for cosmological constant explanations.

Contribution

It establishes a correspondence between tachyon and Tsallis holographic dark energy models and investigates their scalar field dynamics in flat, open, and closed universes.

Findings

In flat universe, 7Tb2 always zero, 1 in equation of state.

In non-flat universe, 7Tb2 cannot be zero, 1 not suitable for cosmological constant.

7Tb2 decreases monotonically with 3(R_h/a) and 3h(R_h/a) increases.

Abstract

In this paper, we consider the correspondence between the tachyon dark energy model and the Tsallis holographic dark energy scenario in an FRW universe.We demonstrate the Tsallis holographic description of tachyon dark energy in an FRW universe and reconstruct the potential and basic results of the dynamics of the scalar field which describe the tachyon cosmology. In a flat universe, in the tachyon model of Tsallis holographic dark energy, independent of the existence of interaction between dark energy and matter or not, \dot{T}^2 must always be zero. Therefore, the equation of state {\omega}_D is always -1 in such a flat universe. For a non-flat universe, \dot{T}^2 cannot be zero so that {\omega}_D=-1 which cannot be used to explain the origin of the cosmological constant. \dot{T}^2 monotonically decreases with the increase in \cos(R_h/a) and \cosh(R_h/a) for different {\delta}'s. In particular, for an open universe, \dot{T}^2 is always larger than zero, while for a closed universe, \dot{T}^2 is always smaller than zerowhich is physically invalid. In addition, we conclude that with the increase in \cos(R_h/a) and \cosh(R_h/a), \dot{T}^2 always decreases monotonically irrespective of the value of b^2.