Cosmological evolution via interacting/non-interacting holographic dark energy model for curved FLRW space–time in Rastall gravity

Abstract

In this work, we explore the phenomenon of cosmic evolution using curved FLRW space-time bounded by apparent horizon with a specific holographic cut-off. To this end, we use the framework of Rastall gravity (RG) and universe is assumed to be consists of interacting/ non-interacting dark energy (DE) and dark matter (DM). In both scenarios, we evaluate exact solutions of the dynamical equations and constraint the holographic parameter c 2 (z) assuming a slowly varying function of red-shift during non-interacting model. For interacting model, we consider c 2 as a constant function of red-shift. Moreover, we analyze nature of the obtained results via deceleration parameter (q), statefinder pair (j, s) and Om(z)-diagnostic by constraining the involved model parameters using latest observational data. The graphical analysis showed that interacting model is very close to Λ cold DM (ΛCDM) model as compared to non-interacting case. We conclude that this holographic proposal is enough to describe the cosmic evolution at an accelerating rate.

Gravitational Lensing in Kerr-Newman Anti de Sitter Spacetime

“…Modified gravity is believed to be a good candidate to explain unknown components such as dark energy and dark matter in the universe. Rastall gravity [51], one of the modified gravity theories, gives interesting results in which the universe is assumed to be consisting of interacting/non-interacting dark energy and dark matter [52]. Recently, KNAdS black hole surrounded by perfect fluid matter in the Rastall gravity has been derived [53].…”