Generalized entropies and corresponding holographic dark energy models

Abstract

Using Tsallis statistics and its relation with Boltzmann entropy, the Tsallis entropy content of black holes is achieved, a result in full agreement with a recent study (Phys. Lett. B 794, 24 (2019)). In addition, employing Kaniadakis statistics and its relation with that of Tsallis, the Kaniadakis entropy of black holes is obtained. The Sharma-Mittal and Rényi entropy contents of black holes are also addressed by employing their relations with Tsallis entropy. Thereinafter, relying on the holographic dark energy hypothesis and the obtained entropies, two new holographic dark energy models are introduced and their implications on the dynamics of a flat FRW universe are studied when there is also a pressureless fluid in background. In our setup, the apparent horizon is considered as the IR cutoff, and there is not any mutual interaction between the cosmic fluids. The results indicate that the obtained cosmological models have $i$) notable powers to describe the cosmic evolution from the matter-dominated era to the current accelerating universe, and $ii$) suitable predictions for the universe age.

References in corpus (9)

• Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
• Hawking Radiation of Apparent Horizon in a FRW Universe
• HD 140283: A Star in the Solar Neighborhood that Formed Shortly After the Big Bang
• Instability of holographic dark energy models
• Accelerated cosmos in a non-extensive setup
• Zeroth Law compatibility of non-additive thermodynamics
• Stability analysis of the Tsallis holographic dark energy model
• Renyi entropies of a black hole from Hawking radiation
• Where are the black hole entropy degrees of freedom ?

Cited by in corpus (7)

• Prospecting Black Hole Thermodynamics with Fractional Quantum Mechanics
• New power-law tailed distributions emerging in $\kappa$-statistics
• Modified cosmology from quantum deformed entropy
• Statistical approaches and the Bekenstein bound conjecture in Schwarzschild black holes
• Barrow black holes and the minimal length
• Evolution of dissipative and non-dissipative universes in holographic cosmological models with a power-law term
• Relativistic Correction to Black Hole Entropy