Non-flat universe with Tsallis holographic dark energy

Abstract

The cosmological evolution of non-flat universe filled with general Tsallis holographic dark energy is considered. We assumed that the density of the holographic component is defined as $\sim L^{2\gamma -4}$ where $\gamma$ is the nonadditivity parameter and $L$ is the length of the event horizon. The influence of possible interaction between dark matter and holographic dark energy is investigated. We also considered asymptotic evolution of universe from an early matter dominated epoch and established the existence of de Sitter attractor for $\gamma <1$.