Holographic thermodynamic relation for dissipative and non-dissipative universes in a flat FLRW cosmology

Abstract

To clarify a holographic modified thermodynamic relation, the present study applies a general formulation for cosmological equations in a flat FLRW universe to the first law of thermodynamics, using the Bekenstein-Hawking entropy $S_{\mathrm{BH}}$ and a dynamical Kodama-Hayward temperature $T_{\mathrm{KH}}$. For the general formulation, both an effective pressure $p_e$ of cosmological fluids for dissipative universes (e.g., bulk viscous cosmology) and an extra driving term $f_{\Lambda }(t)$ for non-dissipative universes (e.g., time-varying $\Lambda (t)$ cosmology) are phenomenologically assumed. When $f_{\Lambda }(t)$ is constant, the modified thermodynamic relation is equivalent to the formulation of the first law in standard cosmology. One side of this modified relation describes thermodynamic quantities in the bulk and can be divided into two time-derivative terms, namely $\dot{\rho }$ and $\dot{V}$ terms, where $\rho$ is the mass density of cosmological fluids and $V$ is the Hubble volume. Using the Gibbons-Hawking temperature $T_{\mathrm{GH}}$, the other side of this relation, $T_{\mathrm{KH}}{\dot{S}}_{\mathrm{BH}}$, can be formulated as the sum of $T_{\mathrm{GH}}{\dot{S}}_{\mathrm{BH}}$ and $[(T_{\mathrm{KH}}/T_{\mathrm{GH}})-1]T_{\mathrm{GH}}{\dot{S}}_{\mathrm{BH}}$, which are equivalent to the $\dot{\rho }$ and $\dot{V}$ terms, respectively, with the magnitude of the $\dot{V}$ term being proportional to the square of the $\dot{\rho }$ term. In addition, the modified thermodynamic relation for constant $f_{\Lambda }(t)$ is examined by applying the equipartition law of energy on the horizon. This modified thermodynamic relation reduces to a kind of extended holographic-like connection when a constant $T_{\mathrm{KH}}$ universe is considered. The evolution of thermodynamic quantities is also discussed, using a constant $T_{\mathrm{KH}}$ model, extending a previous analysis [Phys. Rev. D 108, 083515 (2023) (arXiv:2306.11285)].

Several paragraphs and references are added. [17 pages, 3 figures]

References in corpus (103)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• The World as a Hologram
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• Aspects of Holographic Entanglement Entropy
• On the Origin of Gravity and the Laws of Newton
• The holographic principle
• First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe
• Black hole thermodynamical entropy
• Transition of the dark energy equation of state in an interacting holographic dark energy model
• Unified first law of black-hole dynamics and relativistic thermodynamics
• Relative entropy equals bulk relative entropy
• Evolution of the Scale Factor with a Variable Cosmological Term
• Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
• The Area of a Rough Black Hole
• Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe
• Relative Entropy and Holography
• Hubble parameter measurement constraints on the redshift of the deceleration-acceleration transition, dynamical dark energy, and space curvature
• Cosmological constant and vacuum energy: old and new ideas
• Generalized entropy formalism and a new holographic dark energy model
• Equipartition of energy in the horizon degrees of freedom and the emergence of gravity
• Disturbing Implications of a Cosmological Constant
• Thermodynamic Behavior of Field Equations for f(R) Gravity
• Hawking Radiation of Apparent Horizon in a FRW Universe
• Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling
• The new form of the equation of state for dark energy fluid and accelerating universe
• Cosmologies with Energy Exchange
• Black Hole Solutions as Topological Thermodynamic Defects
• Corrected Entropy-Area Relation and Modified Friedmann Equations
• A Larger Estimate of the Entropy of the Universe
• Entropic Accelerating Universe
• Entropy of Static Spacetimes and Microscopic Density of States
• Hubble expansion & Structure Formation in Time Varying Vacuum Models
• Friedmann Equations from Entropic Force
• FRW Cosmologies with Adiabatic Matter Creation
• Modified Friedmann Equations from Tsallis Entropy
• Holography, Cosmology and the Second Law of Thermodynamics
• Expansion History with Decaying Vacuum: A Complete Cosmological Scenario
• Cosmological model from the holographic equipartition law with a modified Rényi entropy
• Dynamical vacuum energy in the expanding Universe confronted with observations: a dedicated study
• A q-parameter bound for particle spectra based on black hole thermodynamics with Rényi-entropy
• Entropic cosmology for a generalized black-hole entropy
• Entropic Corrections to Friedmann Equations
• Universal canonical black hole entropy
• The generalized second law of thermodynamics with Barrow entropy
• Power-law corrections to entanglement entropy of horizons
• The generalized second law in universes with quantum corrected entropy relations
• Implications, consequences and interpretations of generalized entropy in the cosmological setups
• Observational constraints on sign-changeable interaction models and alleviation of the $H_0$ tension
• Barrow Entropy Corrections to Friedmann Equations
• Generalizing the running vacuum energy model and comparing with the entropic-force models
• On the Cardy-Verlinde Entropy Formula in Viscous Cosmology
• Evolution of the universe in entropic cosmologies via different formulations
• Thermodynamical interpretation of the geometrical variables associated with null surfaces
• Emergent perspective of Gravity and Dark Energy
• Power-Law Entropic Corrections to Newton's Law and Friedmann Equations
• Inflation in Entropic Cosmology: Primordial Perturbations and non-Gaussianities
• Thermodynamics in Rastall Gravity with Entropy Corrections
• Entropic-force dark energy reconsidered
• Entropy evolution of universes with initial and final de Sitter eras
• Can dark energy be expressed as a power series of the Hubble parameter?
• General form of entropy on the horizon of the universe in entropic cosmology
• Emergence of Space and Spacetime Dynamics of Friedmann-Robertson-Walker Universe
• De Sitter Space and Entanglement
• Modified cosmology from the thermodynamics of apparent horizon
• Non-adiabatic-like accelerated expansion of the late universe in entropic cosmology
• Equipartition of energy and the first law of thermodynamics at the apparent horizon
• Testing the equation of state for viscous dark energy
• Modified cosmology through Barrow entropy
• Holographic equipartition and the maximization of entropy
• Entropic cosmology in a dissipative universe
• Thermodynamics of apparent horizon in modified FRW universe with power-law corrected entropy
• Holographic realization from inflation to reheating in generalized entropic cosmology
• Holographic dark energy from the laws of thermodynamics with Rényi entropy
• Statistical approaches on the apparent horizon entropy and the generalized second law of thermodynamics
• Corrections to Friedmann equations inspired by Kaniadakis entropy
• Thermodynamic constraints on a varying cosmological-constant-like term from the holographic equipartition law with a power-law corrected entropy
• Generalized thermodynamic constraints on holographic-principle-based cosmological scenarios
• Universal thermodynamics in different gravity theories: Modified entropy on the horizons
• Equilibrium Temperature for Black Holes with Nonextensive Entropy
• Thermodynamics of the FLRW apparent horizon
• Do We Really Understand the Cosmos?
• Challenging matter creation models in the phantom divide
• Cosmic microwave background radiation temperature in a dissipative universe
• Entropy Maximization in the Emergent Gravity Paradigm
• Accelerated Expansion of the Universe based on Emergence of Space and Thermodynamics of the Horizon
• Does the second law hold at cosmic scales?
• Viscous cosmology in $f(T)$ gravity
• Modified Hawking temperature and entropic force: a prescription in FRW model
• Gravitational Matter Creation, Multi-fluid Cosmology and Kinetic Theory
• Emergence of cosmic space and its connection with thermodynamic principles
• A generalized mass-to-horizon relation: a new global approach to entropic cosmologies and its connection to $\Lambda$CDM
• Horizon thermodynamics in holographic cosmological models with a power-law term
• Evolution of thermodynamic quantities on cosmological horizon in $\Lambda (t)$ model
• Thermodynamics in the universe described by the emergence of the space and the energy balance relation
• Energy stored on a cosmological horizon and its thermodynamic fluctuations in holographic equipartition law
• An attempt to add Barrow entropy in $f(R)$ gravity
• Entropy production due to adiabatic particle creation in a holographic dissipative cosmology
• Evolution of dissipative and non-dissipative universes in holographic cosmological models with a power-law term
• Horizon thermodynamics and cosmological equations: A holographic-like connection between thermostatistical quantities on a cosmological horizon and in the bulk
• Exploring Modifications to FLRW Cosmology with General Entropy and Thermodynamics: A new Approach
• Cosmological model based on both holographic-like connection and Padmanabhan's holographic equipartition law
• Holographic equipartition from first order action

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