Quintessence model of Tsallis holographic dark energy

Abstract

In order to apply entropy relations and holography to the entire universe, which is a gravitationally nonextensive framework, for consistency one should apply the standard definition for the universe horizon entropy, specifically Tsallis nonextensive entropy. The model of Tsallis holographic dark energy quantified by a new dimensionless parameter δ, which is a generalization of original holographic dark energy is an endeavour for testing the idea of dark energy inside the structure of holographic principle and entropy formalism. The Tsallis parameter δ decides the principle property of the Tsallis holographic dark energy. With the suitable choice of dimensionless parameter δ, this article attempts to analyse the behaviour of Tsallis holographic dark energy using the Tsallis entropy notion. The choice of δ<1 describes completely the quintessence behaviour of Tsallis holographic dark energy. The dynamics of the scalar field as well as potential of the quintessence is reconstructed for the choices of δ<1.