Interacting New Tsallis holographic dark energy

Abstract

We constructed the evolution of a flat FRW universe filled with New Tsallis holographic dark energy (NTHDE) and matter (dust) that interact with each other via a wellknown source term. Assuming the hubble horizon IR cutoff length, extracted the governing equation for the NTHDE density parameter’s evolution and solved it numerically to find the evolution of other relevant cosmological parameters, e.g., equation of state and deceleration parameters. We then repeated same findings when the radiation component was included. According to our findings, the cosmos has a normal thermal history, with radiation, dark matter (DM) and dark energy (DE) eras occurring one after the other until dark energy eventually takes over entirely in the far future. We also found that according to the values of the parameters (δ, b12, b22), the NTHDE equation of state parameter can be either quintessence like or phantom like or very close to cosmological constant during the cosmic evolution. This fascinating feature of the scenario is achieved without the use of an explicit cosmological constant term, and it arises purely from modified cosmology through an interacting NTHDE with varying δ. Finally, the hubble parameter’s evolution is examined and contrasted with the most recent hubble parameter results.