Abstract
The cosmic expansion phenomenon is being studied through the interaction of newly proposed dark energy models (Tsallis, Rényi and Sharma-Mittal holographic dark energy (HDE) models) with cold dark matter in the framework of loop quantum cosmology. We investigate different cosmic implications such as equation of state parameter, squared sound speed and cosmological plane (ω d - ω d ′ , ω d and ω d ′ represent the equation of state (EoS) parameter and its evolution, respectively). It is found that EoS parameter exhibits quintom like behavior of the universe for all three models of HDE. The squared speed of sound represents the stable behavior of Rényi HDE and Sharma-Mittal HDE at the latter epoch while unstable behavior for Tsallis HDE. Moreover, ω d - ω d ′ plane lies in the thawing region for all three HDE models.
Highlights
Observational data from type Ia supernovae (SNIa) [1,2,3,4], the large scale structure (LSS) [5,6,7,8] and the cosmic microwave background (CMB), anisotropies [9,10,11], tell us that the universe undergoes an accelerated expansion at the present time
Cosmological implications with the help of non-linear interaction terms between dark matter and dark energy (DE) models have been discussed in the framework of loop quantum cosmology (LQC)
The trajectories of EoS parameter in all three models holographic dark energy (HDE) exhibit the quintom-like nature of the universe as it shows transition of the universe from phantom era towards quintessence era by evolving phantom barrier
Summary
Observational data from type Ia supernovae (SNIa) [1,2,3,4], the large scale structure (LSS) [5,6,7,8] and the cosmic microwave background (CMB), anisotropies [9,10,11], tell us that the universe undergoes an accelerated expansion at the present time. They investigated that HDE model is justified with the present observations in the low redshift region They tried to reduce the cosmic coincidence problem by taking different possibilities of time rate of change of the ratio of dark matter to HDE densities for a particular choice of interacting term. Ma et al [48] explored observational signatures of interacting and non-interacting HDE with dark matter In these models they observed the big rip singularity in for different parameters by using a lot of recent observational schemes. To study the cosmological and and gravitational phenomena many generalized entropy formalism has been applied but Tsallis and Rényi entropies generates the suitable model of universe.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
