Rényi Holographic Dark Energy

Abstract

In this work, the holographic dark energy model is constructed by using the non-extensive nature of the Schwarzschild black hole via the Rényi entropy. Due to the non-extensivity, the black hole can be stable under the process of fixing the non-extensive parameter. A change undergoing such a process would then motivate us to define the energy density of the Rényi holographic dark energy (RHDE). As a result, the RHDE with choosing the characteristic length scale as the Hubble radius provides the late-time expansion without the issue of causality. Remarkably, the proposed dark energy model contains the non-extensive length scale parameter additional to the standard $\Lambda$CDM model. The cosmic evolution can be characterized by comparing the size of the Universe to this length scale. Moreover, the preferable value of the non-extensive length scale is determined by fitting the model to recent observations. The results of this work would shed light on the interplay between the thermodynamic description of the black hole with non-extensivity and the classical gravity description of the evolution of the Universe.

arXiv comment36 pages, 9 figures, 2 tables

References in corpus (81)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• The Sloan Digital Sky Survey: Technical Summary
• Quantum entanglement
• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• The World as a Hologram
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• Thermodynamics of Spacetime: The Einstein Equation of State
• A Model of Holographic Dark Energy
• The holographic principle
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological Implications from two Decades of Spectroscopic Surveys at the Apache Point observatory
• P-V criticality of charged AdS black holes
• Effective Field Theory, Black Holes, and the Cosmological Constant
• The Pantheon+ Analysis: Cosmological Constraints
• Unifying phantom inflation with late-time acceleration: scalar phantom-non-phantom transition model and generalized holographic dark energy
• Black hole chemistry: thermodynamics with Lambda
• The SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Overview and Early Data
• Entropy Bounds and Dark Energy
• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe
• A Dark Energy Model Characterized by the Age of the Universe
• A New Model of Agegraphic Dark Energy
• Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
• A Holographic Dark Energy Model from Ricci Scalar Curvature
• Holographic Dark Energy
• Infrared cut-off proposal for the Holographic density
• Generalized entropy formalism and a new holographic dark energy model
• Setting the Stage for Cosmic Chronometers. II. Impact of Stellar Population Synthesis Models Systematics and Full Covariance Matrix
• Barrow holographic dark energy
• On the possible running of the cosmological "constant"
• Thermodynamic approach to holographic dark energy and the Rényi entropy
• Modified cosmology from extended entropy with varying exponent
• Rényi entropy and the thermodynamic stability of black holes
• Early and late universe holographic cosmology from a new generalized entropy
• Early-universe constraints on a Primordial Scaling Field
• Thermodynamics of interacting holographic dark energy with apparent horizon as an IR cutoff
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: single-probe measurements and the strong power of normalized growth rate on constraining dark energy
• Barrow entropic dark energy: A member of generalized holographic dark energy family
• Non-extensive Statistical Mechanics and Black Hole Entropy From Quantum Geometry
• Cosmological model from the holographic equipartition law with a modified Rényi entropy
• Holographic dark energy in Brans-Dicke theory
• A q-parameter bound for particle spectra based on black hole thermodynamics with Rényi-entropy
• Barrow Entropy Corrections to Friedmann Equations
• Zeroth Law compatibility of non-additive thermodynamics
• Area-law versus Rényi and Tsallis black hole entropies
• Thermodynamics, stability and Hawking-Page transition of Kerr black holes from Rényi statistics
• Modified cosmology through nonextensive horizon thermodynamics
• $\Lambda$CDM Cosmology for Astronomers
• Holographic Dark Energy in Braneworld Models with Moving Branes and the w=-1 Crossing
• Geometrical observational bounds on a fractal horizon holographic dark energy
• Thermodynamics and Van der Waals Phase Transition of Charged Black Holes in Flat Space via Rényi Statistics
• Revisit of the Interaction between Holographic Dark Energy and Dark Matter
• A Critique of Holographic Dark Energy
• Alternative entropies and consistent black hole thermodynamics
• Thermodynamics and Phase Transition of Spherically Symmetric Black Hole in de Sitter Space from Rényi Statistics
• The Coincidence Problem and Interacting Holographic Dark Energy
• $P-v$ criticalities, phase transitions and geometrothermodynamics of charged AdS black holes from Kaniadakis statistics
• q-generalized Tsallis thermostatistics in Unruh effect for mixed fields
• Solid/Liquid Phase Transition and Heat Engine in Asymptotically Flat Schwarzschild Black Hole via the Rényi Extended Phase Space Approach
• Effective thermodynamical system of Schwarzschild-de Sitter black holes from Rényi statistics
• Holographic dark energy from the laws of thermodynamics with Rényi entropy
• Generalized Uncertainty Principle Impact on Nonextensive Black Hole Thermodynamics
• Couplings between holographic dark energy and dark matter
• Black hole geometrothermodynamics and critical phenomena: a look from Tsallis entropy-based perspective
• Equilibrium Temperature for Black Holes with Nonextensive Entropy
• Emergent Phase, Thermodynamic Geometry and Criticality of Charged Black Holes from Rényi Statistics
• Holographic Dark Energy Model and Scalar-Tensor Theories
• Thermodynamics of Asymptotically de-Sitter Black Hole in dRGT Massive Gravity from Rényi entropy
• Cosmological constraints on the new holographic dark energy model with action principle
• Nonextensive entropies impact onto thermodynamics and phase structure of Kerr-Newman black holes
• Statistical approaches and the Bekenstein bound conjecture in Schwarzschild black holes
• Coherent states for generalized uncertainty relations as Tsallis probability amplitudes: new route to non-extensive thermostatistics
• Holographic Dark Energy Characterized by the Total Comoving Horizon and Insights to Cosmological Constant and Coincidence Problem
• Holographic Dark Energy Model Characterized by the Conformal-age-like Length
• An effective field theory of holographic dark energy
• A 5D Holographic Dark Energy in DGP-Brane Cosmology
• AdS to dS phase transition mediated by thermalon in Einstein-Gauss-Bonnet gravity from Renyi statistics
• The spectrum of Hawking radiation in Tsallis statistical mechanics
• Non-adiabatic perturbations in Ricci dark energy model
• Thermodynamics of Black String from Rényi entropy in de Rham-Gabadadze-Tolley Massive Gravity Theory

Cited by in corpus (6)

• A comprehensive numerical study on four categories of holographic dark energy models
• Holographic and Gravity-Thermodynamic Approaches in Entropic Cosmology: Bayesian Assessment using late-time Data
• Constraints on Barrow and Tsallis Holographic Dark Energy from DESI DR2 BAO data
• Topological and optical signatures of modified black-hole entropies
• Constraints on Generalized Gravity-Thermodynamic Cosmology from DESI DR2
• Observational constraints on Luciano-Saridakis entropic cosmology