Thermodynamic approach to holographic dark energy and the Rényi entropy

Abstract

Using the first law of thermodynamics, we propose a relation between the system entropy ($S$) and its IR ($L$) and UV ($\Lambda$) cutoffs. In addition, applying this relation to the apparent horizon of flat FRW universe, whose entropy meets the Rényi entropy, a new holographic dark energy model is addressed. Thereinafter, the evolution of the flat FRW universe, filled by a pressureless source and the obtained dark energy candidate, is studied. In our model, there is no mutual interaction between the cosmos sectors. We find out that the obtained model is theoretically powerful to explain the current accelerated phase of the universe. This result emphasizes that the generalized entropy formalism is suitable for describing systems including the long-range interactions such as gravity.

arXiv commentAccepted by Eur. Phys. J. C (2018)

References in corpus (67)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Cosmological parameters from SDSS and WMAP
• Cosmology and the Fate of Dilatation Symmetry
• Thermodynamics of Spacetime: The Einstein Equation of State
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• The 2dF Galaxy Redshift Survey: Spectra and redshifts
• Phantom Energy and Cosmic Doomsday
• The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• A Model of Holographic Dark Energy
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Effective Field Theory, Black Holes, and the Cosmological Constant
• MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
• Entropy Bounds and Dark Energy
• A measurement by BOOMERANG of multiple peaks in the angular power spectrum of the cosmic microwave background
• First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe
• Inhomogeneous Equation of State of the Universe: Phantom Era, Future Singularity and Crossing the Phantom Barrier
• The large-scale structure of the Universe
• Constraints on Cosmological Models from Hubble Space Telescope Observations of High-z Supernovae
• Unified first law of black-hole dynamics and relativistic thermodynamics
• Dark Matter and Dark Energy Interactions: Theoretical Challenges, Cosmological Implications and Observational Signatures
• 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
• Probable Values of the Cosmological Constant in a Holographic Theory
• Holographic Dark Energy
• Cosmic Holography
• Generalized entropy formalism and a new holographic dark energy model
• Hawking Radiation of Apparent Horizon in a FRW Universe
• Dynamic black-hole entropy
• The new form of the equation of state for dark energy fluid and accelerating universe
• Inflation and de Sitter Thermodynamics
• A step beyond Tsallis and Renyi entropies
• Rényi entropy and the thermodynamic stability of black holes
• Kinematic Constraints to the Transition Redshift from SNe Ia Union Data
• Dark Energy and QCD Ghost
• Instability of holographic dark energy models
• 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
• 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
• Zeroth Law compatibility of non-additive thermodynamics
• Nonsaturated Holographic Dark Energy
• Entropy-Corrected Holographic Dark Energy
• Holographic dark energy in the DGP braneworld with GO cutoff
• Implications of the Generalized Entropy Formalisms on the Newtonian Gravity and Dynamics
• When is a quantity additive, and when is it extensive?
• New bounds for Tsallis parameter in a noncommutative phase-space entropic gravity and nonextensive Friedmann equations
• Considerations on the thermal equilibrium between matter and the cosmic horizon
• Emergent Friedmann equation from the evolution of cosmic space revisited
• Considerations on Gravity as an Entropic Force and Entangled States
• Renyi entropies of a black hole from Hawking radiation
• Quintessence and the Transition to an Accelerating Universe
• Black hole and holographic dark energy
• Friedmann equations and emergence of cosmic space
• Information entropy and dark energy evolution
• A note on the relations between thermodynamics, energy definitions and Friedmann equations
• Thermodynamic of universe with a varying dark energy component
• Thermodynamic behavior and stability of Polytropic gas
• Transition from decelerated to accelerated cosmic expansion in braneworld universes
• Thermodynamic descriptions of Polytropic gas and its viscous type as the dark energy candidates

Cited by in corpus (64)

• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Holographic dark energy through Tsallis entropy
• Generalized entropies and corresponding holographic dark energy models
• Observational constraint on interacting Tsallis holographic dark energy in logarithmic Brans-Dicke theory
• Barrow holographic dark energy with Hubble horizon as IR cutoff
• Tsallis holographic dark energy in the brane cosmology
• The generalized and extended uncertainty principles and their implications on the Jeans mass
• Dynamical analysis and statefinder of Barrow holographic dark energy
• Tsallis Agegraphic Dark Energy Model
• The extended uncertainty principle inspires the Rényi entropy
• Growth of Perturbations in Tsallis and Barrow Cosmology
• Kaniadakis Holographic Dark Energy in non-flat Universe
• Statefinder hierarchy model for the Barrow holographic dark energy
• Cosmological perturbations in the Tsallis holographic dark energy scenarios
• Holographic dark energy from the laws of thermodynamics with Rényi entropy
• Black hole thermodynamics in the Sharma-Mittal generalized entropy formalism
• Tsallis holographic dark energy in Fractal Universe
• Kaniadakis holographic dark energy in Brans-Dicke cosmology
• Inflation in the Rényi cosmology
• Effects of Anisotropy on the Sign-Changeable Interacting Tsallis Holographic Dark Energy
• Emergent Phase, Thermodynamic Geometry and Criticality of Charged Black Holes from Rényi Statistics
• Exploring the Sharma-Mittal HDE models with different diagnostic tools
• Fractional Holographic Dark Energy
• Tsallis holographic model of dark energy: Cosmic behaviour, statefinder analysis and ${\omega }_D-{\omega }_D^{\prime }$ pair in the non-flat universe
• Study of Tsallis holographic dark energy model in the framework of Fractal cosmology
• The cosmological behaviour and the statefinder diagnosis for the New Tsallis agegraphic dark energy
• Modified cosmology from quantum deformed entropy
• Extended $\Lambda$CDM model and viscous dark energy: A Bayesian analysis
• RHDE models in FRW Universe with two IR cut-offs with redshift parametrization
• R\' enyi Holographic Dark Energy in Higher Dimension Cosmology
• Diagnosing the R$\acute{e}$nyi Holographic Dark Energy model in a flat Universe
• Rényi Holographic Dark Energy
• Thermodynamics of Black Holes with Rényi Entropy from Classical Gravity
• Comparing teh holographic principle inspired dark energy models
• Renyi Holographic Dark Energy models in Teleparallel gravity
• Tachyon model of Tsallis holographic dark energy
• Bayesian Comparison of Interacting Modified Holographic Ricci Dark Energy Scenarios
• A new approach to $P-V$ phase transitions: Einstein gravity and holographic type dark energy
• Cosmology of the interacting Tsallis holographic dark energy in $f(R,T)$ gravity framework
• 1+1D Hadrons Minimize their Biparton Renyi Free Energy
• On the thermodynamics of reconciling quantum and gravity
• Entropic Gravity and Cosmology in Kaniadakis Statistics
• Holographic Dark Energy from the Anti-de Sitter Black Hole
• The Rényi holographic dark energy model in Chern-Simons gravity: some cosmological implications
• Topological and optical signatures of modified black-hole entropies
• New Tsallis holographic dark energy with apparent horizon as IR-cutoff in non-flat Universe
• Interacting and Non-interacting Reńyi Holographic Dark Energy Models in DGP Braneworld
• Hawking-Rényi black hole thermodynamics, Kiselev solution, and cosmic censorship
• Thermodynamics of the most generalized form of Holographic Dark Energy and some particular cases with Corrected Entropies
• Hints Beyond $\Lambda$CDM from Barrow and Tsallis Holographic Dark Energy with GO cutoff
• Reexamining RHDE Models in FRW Universe with two IR cut-off with redshift parametrization
• H0 tension in Tsallis and Renyi statistics
• Cosmological Tensions with Non-Extensive Entropic Cosmology: A Modified Stress-Energy Approach
• Entropy Bounds and Holographic Dark Energy: Conflicts and Consensus
• Towards a Machine Learning Solution for Hubble Tension: Physics-Informed Neural Network (PINN) Analysis of Tsallis Holographic Dark Energy in Presence of Neutrinos
• Multicomponent holographic dark energy model with generalized entropy
• The peculiar case of the Viaggiu holographic dark energy
• Holographic dark energy in a coasting cosmology
• Gravitational waves driven by Holographic dark energy
• Thermodynamic formulation of Cotton gravity in the Codazzi parametrization
• Theoretical Consistency and Observational Constraints on Entropic Cosmology
• Viaggiu holographic dark energy in light of DESI DR2
• Phase space analysis of Rényi Holographic dark energy model
• Hawking-Rényi thermodynamics of rotating black holes from locally Kiselev-type behavior