Cosmographic and thermodynamic analysis of Kaniadakis holographic dark energy

Abstract

In this work, we study the cosmological implications of Kaniadakis holographic dark energy model in the context of Einstein and deformed Hořava-Lifshitz theories of gravity. We examine the various cosmological parameters to analyze the evolution of the universe. The Hubble parameter [Formula: see text] is discussed as it is evidence for accelerating universe and source to examine some other cosmological parameters. We probe coincidence parameter [Formula: see text] to check the matter- and energy-dominated eras of the universe. The deceleration parameter [Formula: see text] is explored for the expansion behavior of the universe while the jerk parameter [Formula: see text] is examined to compare the different dark energy models with [Formula: see text]CDM [Formula: see text] model. We examine the equation of state parameter [Formula: see text] to look into different phases of the universe. We calculate the perturbed parameter squared speed of sound [Formula: see text] to assess the stable behavior of the model. We also investigate the behavior of rate of change of entropy to discuss the validity of generalized second law of thermodynamics.

Gravity and Cosmology in Kaniadakis Statistics: Current Status and Future Challenges

“…Several models of KHDE have been proposed: here, we refer to the approach of [ 14 ], which correctly reduces to the usual HDE in the limit and does not involve large deviations from standard entropy to describe the Universe evolution, as it should be according to Equation ( 2 ). For other possible extensions, see also [ 13 , 32 , 33 ].…”

“…To make the κ-dependence of the l.h.s. in Equations ( 29) and ( 30) explicit, let us recast the total energy density and pressure as ρ = ρ 0 + δρ κ (32) p = p 0 + δp κ (33) where we have separated out Kaniadakis-induced corrections δρ κ and δp κ , respectively. We then expand cosh(x) and shi(x) in Equations ( 29) and (30) for small κ, which is indeed the case, since departures from Maxwell-Boltzmann statistics are expected to be small.…”

“…The standard HDE scenario is built upon Bekenstein–Hawking entropy, which arises as the black hole application of the BGS one. However, in [ 13 , 14 , 15 , 32 ], a generalized HDE based on Kaniadakis entropy has been investigated along with its implications on the cosmic evolution and thermal properties of the Universe (see also [ 23 , 24 , 33 , 34 , 35 ] for further applications). Remarkably, it has been shown that Kaniadakis dark energy exhibits peculiar features that do not have any correspondence in the traditional HDE, potentially providing a way to alleviate the Hubble tension.…”

Cosmic Evolution of Five‐dimensional Einstein Chern‐Simons Gravity Through Dark Energy Model

“…The cosmological consequences of modified theories of gravity are much captivating. [11][12][13][14][15][16][17][18] The Einstein Chern-Simons (EChS) theory is a topological quantum field theory of Schwarz type formulated by Edward Witten. Albert Schwarz, a mathematical physicist, was the first to discover it.…”

Compatibility of big bang nucleosynthesis in some modified gravities

“…Researchers are of the opinion on the basis of observational data coming from Supernova Ia [2,3], cosmic microwave background [4,5] and large scale a e-mails: ams@uo.edu.pk; maliksultan23@gmail.com b e-mails: abduljawad@cuilahore.edu.pk; jawadab181@yahoo.com (corresponding author) structure formation [6][7][8] that presented accelerated expansion of the universe is due the presence of DE. The DE sector commands over the cold dark matter and navigate the universe towards accelerated expansion due to its enough negative pressure [2,9,10].…”