Thermodynamics of the most generalized form of Holographic Dark Energy and some particular cases with Corrected Entropies

Abstract

The holographic cut-off in generalized dark energy (HDE) formalism depends on its cut-off. Following this, a four-parameter generalized entropy has recently been developed. It reduces to various known entropies for appropriate parameter limits in the study of Odintsov, S. D., S. DOnofrio, and T. Paul. (2023) Physics of the Dark Universe, 42 pp: 101277. In the current work, we investigate the evolution of the universe in its early phase and late phase within the framework of entropic cosmology, where the entropic energy density functions are reconstructed within the framework of the equivalence of holographic dark energy and four-parameter generalized entropy (Sg). Along with the reconstruction as mentioned earlier scheme, in this study, we demonstrate that an extensive variety of dark energy (DE) models can be considered distinct and particular candidates for the most generalized four-parameter entropic HDE family, each having their cut-off. We examined several entropic dark energy models in this regard, including the generalized holographic dark energy with Nojiri-Odintsov(NO) cut-off, the Barrow entropic HDE (BHDE) with particle horizon as IR cut-off, the Tsallis entropic HDE (THDE) with future event horizon as IR cut-off, all of three cases are particular cases of the most generalized four parameter entropic holographic dark energy. Inspired by S. Nojiri, and S. D. Odintsov (2006) (General Relativity and Gravitation, 38 p: 1285-1304 ) and (S. Nojiri and S. D. Odintsov, 2017, European Physical Journal C, 77, pp.1-8 ); our current work reports a study on cosmological parameters and thermodynamics with entropy-corrections (logarithmic and power-law) to cosmological horizon entropy as well as black hole entropy with a highly generalized viscous coupled holographic dark fluid along its particular cases.

arXiv comment42 pages, 22 figures

References in corpus (116)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Dynamics of dark energy
• The World as a Hologram
• Cosmological parameters from SDSS and WMAP
• Thermodynamics of Spacetime: The Einstein Equation of State
• Black Hole Entropy is Noether Charge
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• A Model of Holographic Dark Energy
• Effective Field Theory, Black Holes, and the Cosmological Constant
• The Cosmic Triangle: Revealing the State of the Universe
• Unifying phantom inflation with late-time acceleration: scalar phantom-non-phantom transition model and generalized holographic dark energy
• Entropy Bounds and Dark Energy
• First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe
• Black hole entropy in Loop Quantum Gravity
• Logarithmic correction to the Bekenstein-Hawking entropy
• Black hole thermodynamical entropy
• Transition of the dark energy equation of state in an interacting holographic dark energy model
• Classical and Quantum Thermodynamics of horizons in spherically symmetric spacetimes
• Logarithmic Corrections to Black Hole Entropy from the Cardy Formula
• Probable Values of the Cosmological Constant in a Holographic Theory
• The Area of a Rough Black Hole
• Infrared cut-off proposal for the Holographic density
• The Holographic Dark Energy in a Non-flat Universe
• Statistical mechanics in the context of special relativity II
• Cosmic Holography
• Tsallis Holographic Dark Energy
• Generalized entropy formalism and a new holographic dark energy model
• Cosmology with Interaction between Phantom Dark Energy and Dark Matter and the Coincidence Problem
• Hawking Radiation of Apparent Horizon in a FRW Universe
• New infrared cut-off for the holographic scalar fields models of dark energy
• Interacting holographic dark energy model in non-flat universe
• Quantum Tunneling and Back Reaction
• Barrow holographic dark energy
• Thermodynamics of an accelerated expanding universe
• Viscous Cosmology for Early- and Late-Time Universe
• Viscous Little Rip Cosmology
• Quantum-corrected black hole thermodynamics to all orders in the Planck length
• Le Chatelier-Braun principle in cosmological physics
• Thermodynamics of dark energy interacting with dark matter and radiation
• Thermodynamic approach to holographic dark energy and the Rényi entropy
• Covariant Generalized Holographic Dark Energy and Accelerating Universe
• Friedmann Equations and Thermodynamics of Apparent Horizons
• RG-Flow, Gravity and the Cosmological Constant
• Early and late universe holographic cosmology from a new generalized entropy
• Thermodynamics of interacting holographic dark energy with apparent horizon as an IR cutoff
• Modified Friedmann Equations from Tsallis Entropy
• Perturbation Spectra from Intermediate Inflation
• Cosmological model with viscosity media (dark fluid) described by an effective equation of state
• Barrow entropic dark energy: A member of generalized holographic dark energy family
• Emergent Universe with Exotic Matter
• Big Bang Nucleosynthesis constraints on Barrow entropy
• Holographic inflation
• Thermodynamical description of the interaction between holographic dark energy and dark matter
• Friedmann model with viscous cosmology in modified $f(R,T)$ gravity theory
• Non-extensive Statistical Mechanics and Black Hole Entropy From Quantum Geometry
• Unifying Holographic Inflation with Holographic Dark Energy: a Covariant Approach
• Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function
• Corrected entropy of BTZ black hole in tunneling approach
• Universal canonical black hole entropy
• Constraints on the dark energy from holography
• Generalized entropies and corresponding holographic dark energy models
• Power-law corrections to entanglement entropy of horizons
• Charged Black Holes in Phantom Cosmology
• Bulk viscous cosmology: statefinder and entropy
• Dynamics of Logamediate Inflation
• The generalized second law of thermodynamics in the accelerating universe
• The generalized second law in universes with quantum corrected entropy relations
• Search for Microscopic Black Hole Signatures at the Large Hadron Collider
• Viscous Ricci Dark Energy
• Tsallis holographic dark energy in the Brans-Dicke cosmology
• Interacting Dark Energy and Cosmological Equations of State
• A Note on Tsallis Holographic Dark Energy
• The generalized second law of thermodynamics in generalized gravity theories
• Generalized Second Law of Thermodynamics in $f(T)$ Gravity with Entropy Corrections
• Barrow holographic dark energy with Hubble horizon as IR cutoff
• The generalized second law of thermodynamics in Horava-Lifshitz cosmology
• Evolution of a Schwarzschild Black Hole in Phantom-like Chaplygin gas Cosmologies
• Power-Law Entropy Corrected Holographic Dark Energy Model
• Generalized second law of thermodynamics for FRW cosmology with logarithmic correction
• Validity of the Generalized Second Law of Thermodynamics of the Universe Bounded by the Event Horizon in Holographic Dark Energy Model
• Turbulence and Little Rip Cosmology
• Anisotropic dark energy model with a hybrid scale factor
• Interacting Holographic Viscous Dark Energy Model
• Cardy-Verlinde formula in FRW Universe with inhomogeneous generalized fluid and dynamical entropy bounds near the future singularity
• Holographic bounce
• Modified cosmology from the thermodynamics of apparent horizon
• The generalized second law of gravitational thermodynamics on the apparent and event horizons in FRW cosmology
• Characteristic Properties of Two Different Viscous Cosmology Models for the Future Universe
• Primordial Black Holes in Phantom Cosmology
• General Bulk-Viscous Solutions and Estimates of Bulk Viscosity in the Cosmic Fluid
• New entropies, black holes, and holographic dark energy
• An Interacting Dark Energy Model for the Expansion History of the Universe
• Comments on the CKN Bound
• Inflation driven by a holographic energy density
• Viscous Fluid Holographic Bounce
• Tsallis holographic dark energy in Fractal Universe
• Viscous fluid holographic inflation
• Viscous Brane Cosmology with a Brane-Bulk Energy Interchange Term
• Tsallis holographic dark energy for inflation
• 15-Digit Accuracy Calculations of Ambartsumian-Chandrasekhar's $H$-Functions for Four-Term Phase Functions with the Double-Exponential Formula
• Holographic realization of constant roll inflation and dark energy: An unified scenario
• Surfaces away from horizons are not thermodynamic
• Black Holes in Bulk Viscous Cosmology
• Induced gravity effect on inflationary parameters in an holographic cosmology
• Holographic correspondence of $F(R)$ gravity with/without matter fields
• Transverse Symmetry Transformations and the Quark-Gluon Vertex Function in QCD
• Holographic dark energy in Rastall theory
• Thermodynamics in Modified Gravity Theories
• Power-law entropy-corrected HDE and NADE in Brans-Dicke cosmology
• Thermodynamical description of interacting entropy-corrected new agegraphic dark energy
• Viscous FRW model with particle creation in the early universe
• On Isotropic Turbulence in the Dark Fluid Universe
• Non-equilibrium thermodynamics of dark energy on the power-law entropy corrected apparent horizon
• Black Holes in Accelerated Universe
• Relationship between quantum repeating devices and quantum seals