The Rényi holographic dark energy model in Chern-Simons gravity: some cosmological implications

Abstract

In this paper, we study Rényi holographic dark energy model in the context of Chern Simons (CS) modified gravity theory. Different cosmological parameters such as energy density, deceleration parameter, equation of state, square of sound speed and cosmological plane are discussed using FRW metric. Two separate solutions of CS field equations arose. The Rényi HDE model showed the transition from deceleration to acceleration phase which is fully consistent with the observational data while in the second case it represented a decelerated phase of expansion only. In fact, EoS illustrates the era of dominance of the universe by certain components. Our results predicted that the universe is under the influence of dark energy as EoS showed accelerated expansion phase. On the other hand case two advocated the influence of $\Lambda$ CDM. In both cases, $\omega <0,{\omega }^{\prime }<0$ indicated that the Rényi HDE model is in the freezing region and cosmic expansion is more accelerating in the context of CS modified gravity. It is also observed that the value of ${\nu }_s^2$ is positive $\forall z\in \Re$ a sufficient condition for the stability of the system. Hence it is concluded that the Rényi HDE model is supported by the results of general relativity in the framework of CS modified gravity.

21 pages, 7 figures

References in corpus (14)

• A Holographic Dark Energy Model from Ricci Scalar Curvature
• Infrared cut-off proposal for the Holographic density
• New infrared cut-off for the holographic scalar fields models of dark energy
• Modified cosmology from extended entropy with varying exponent
• Unifying Holographic Inflation with Holographic Dark Energy: a Covariant Approach
• Accelerated cosmos in a non-extensive setup
• Generalized entropies and corresponding holographic dark energy models
• A gravitational-wave probe of effective quantum gravity
• Age Problem in the Holographic Dark Energy Model
• A new PPN parameter to test Chern-Simons gravity
• Flat rotation curves in Chern-Simons modified gravity
• Holographic Dark Energy Models and Higher Order Generalizations in Dynamical Chern-Simons Modified Gravity
• On the causality aspects of the dynamical Chern-Simons modified gravity
• A Note on Noncommutative Brane Inflation