Inflation in the Rényi cosmology

Abstract

The description of the accelerated phases for the current and primordial cosmos has been obtained in the framework of Rényi cosmology. The results show that corrections to the Friedmann equations, originated from differences between Rényi and Bekenstein entropies, can describe both the current accelerated and inflationary eras. The effects of these corrections can be appointed to a hypothetical fluid which is classically unstable. Although inflation can be obtained in Rényi cosmology as the vacuum solution, the values found for the parameters of the hypothetical fluid which supports the current accelerated and primary inflationary cosmos differ from each other.

arXiv comment4 pages, 4 figures

References in corpus (29)

• Black hole thermodynamical entropy
• Tsallis Holographic Dark Energy
• Generalized entropy formalism and a new holographic dark energy model
• Interferometric detection of gravitational waves: the definitive test for General Relativity
• A step beyond Tsallis and Renyi entropies
• Thermodynamic approach to holographic dark energy and the Rényi entropy
• Modified Friedmann Equations from Tsallis Entropy
• A Generalization to the Rastall Theory and Cosmic Eras
• Non-extensive Statistical Mechanics and Black Hole Entropy From Quantum Geometry
• Cosmological model from the holographic equipartition law with a modified Rényi entropy
• General pseudoadditivity of composable entropy prescribed by existence of equilibrium
• A q-parameter bound for particle spectra based on black hole thermodynamics with Rényi-entropy
• Entropic cosmology for a generalized black-hole entropy
• Accelerated cosmos in a non-extensive setup
• Probing the cosmological viability of non-gaussian statistics
• Implications, consequences and interpretations of generalized entropy in the cosmological setups
• Tsallis holographic dark energy in the Brans-Dicke cosmology
• Zeroth Law compatibility of non-additive thermodynamics
• Evolution of the universe in entropic cosmologies via different formulations
• Implications of the Generalized Entropy Formalisms on the Newtonian Gravity and Dynamics
• When is a quantity additive, and when is it extensive?
• Tsallis holographic dark energy in the brane cosmology
• General form of entropy on the horizon of the universe in entropic cosmology
• New bounds for Tsallis parameter in a noncommutative phase-space entropic gravity and nonextensive Friedmann equations
• Entropic cosmology in a dissipative universe
• Accelerated expansion of the Universe without an inflaton and resolution of the initial singularity from Group Field Theory condensates
• Considerations on Gravity as an Entropic Force and Entangled States
• Inflation without Inflaton(s)
• Tsallis $\delta$-entropy in an accelerating BIon

Cited by in corpus (10)

• Generalized entropies and corresponding holographic dark energy models
• The extended uncertainty principle inspires the Rényi entropy
• Kaniadakis Holographic Dark Energy in non-flat Universe
• Exploring the Sharma-Mittal HDE models with different diagnostic tools
• The cosmological behaviour and the statefinder diagnosis for the New Tsallis agegraphic dark energy
• R\' enyi Holographic Dark Energy in Higher Dimension Cosmology
• Diagnosing the R$\acute{e}$nyi Holographic Dark Energy model in a flat Universe
• Comparing teh holographic principle inspired dark energy models
• Barrow Holographic Dark Energy in Brane World Cosmology
• Entropic Gravity and Cosmology in Kaniadakis Statistics