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Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe

7 Pith papers cite this work. Polarity classification is still indexing.

7 Pith papers citing it
abstract

It is shown that the differential form of Friedmann equation of a FRW universe can be rewritten as a universal form $dE = TdS + WdV$ at apparent horizon, where $E$ and $V$ are the matter energy and volume inside the apparent horizon (the energy $E$ is the same as the Misner-Sharp energy in the case of Einstein general relativity), $W=(\rho-P)/2$ is the work density and $\rho$ and $P$ are energy density and pressure of the matter in the universe, respectively. From the thermodynamic identity one can derive that the apparent horizon has associated entropy $S= A/4G$ and temperature $T = \kappa / 2\pi$ in Einstein general relativity, where $A$ is the area of apparent horizon and $\kappa$ is the surface gravity at apparent horizon. We extend our procedure to the Gauss-Bonnet gravity and more general Lovelock gravity and show that the differential form of Friedmann equations in these gravities can also be rewritten to thee universal form $dE = TdS + WdV$ at the apparent horizon with entropy $S$ being given by expression previously known via black hole thermodynamics.

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2026 6 2016 1

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representative citing papers

Observational constraints on Luciano-Saridakis entropic cosmology

astro-ph.CO · 2026-03-03 · unverdicted · novelty 6.0

First background-level constraints on Luciano-Saridakis entropic cosmology using CC, Pantheon+ with SH0ES, DESI DR2 BAO and compressed Planck data show robust fit, 2sigma exclusion of LambdaCDM, and potential Hubble tension alleviation.

Modified Entropy from Action Principle

gr-qc · 2026-05-28 · unverdicted · novelty 5.0

Authors add f(R, K) to the Einstein-Hilbert action, obtain higher-derivative-free modified Friedmann equations for flat FRW, and derive a general apparent-horizon entropy expression usable for multiple entropy models.

Generalized Mass-to-Horizon Entropy and Horizon Thermodynamics

gr-qc · 2026-05-12 · unverdicted · novelty 3.0

A two-parameter extension of Bekenstein entropy is applied to derive the Friedmann equations and confirm thermodynamic consistency for an accelerating universe via entropy balance and maximization.

Black hole chemistry: thermodynamics with Lambda

hep-th · 2016-08-22 · accept · novelty 3.0

Treating the cosmological constant as pressure in black hole thermodynamics yields an extended dictionary with enthalpy, thermodynamic volume, and chemical-like phase transitions including Van der Waals behavior, reentrant transitions, and triple points.

citing papers explorer

Showing 7 of 7 citing papers.

  • Observational constraints on Luciano-Saridakis entropic cosmology astro-ph.CO · 2026-03-03 · unverdicted · none · ref 31 · internal anchor

    First background-level constraints on Luciano-Saridakis entropic cosmology using CC, Pantheon+ with SH0ES, DESI DR2 BAO and compressed Planck data show robust fit, 2sigma exclusion of LambdaCDM, and potential Hubble tension alleviation.

  • Modified Entropy from Action Principle gr-qc · 2026-05-28 · unverdicted · none · ref 2 · internal anchor

    Authors add f(R, K) to the Einstein-Hilbert action, obtain higher-derivative-free modified Friedmann equations for flat FRW, and derive a general apparent-horizon entropy expression usable for multiple entropy models.

  • Constraints on Kaniadakis Cosmology from Starobinsky Inflation and Primordial Tensor Perturbations gr-qc · 2026-05-20 · unverdicted · none · ref 47 · internal anchor

    Kaniadakis entropic cosmology modifies early-universe dynamics and is constrained by its predictions for Starobinsky inflation and the primordial tensor spectrum using current CMB and gravitational-wave observations.

  • Hamilton-Jacobi Approach to Inflationary Scenarios through Extended Entropies: An Observational Perspective astro-ph.CO · 2026-05-17 · unverdicted · none · ref 38 · internal anchor

    Hamilton-Jacobi analysis of slow-roll inflation with non-Bekenstein-Hawking entropies yields fitted entropy parameters (δ≈1.1-1.2, α∼10^{-14}, K∼10^{-17}) consistent with ns and r data.

  • Generalized Mass-to-Horizon Entropy and Horizon Thermodynamics gr-qc · 2026-05-12 · unverdicted · none · ref 28 · internal anchor

    A two-parameter extension of Bekenstein entropy is applied to derive the Friedmann equations and confirm thermodynamic consistency for an accelerating universe via entropy balance and maximization.

  • Black hole chemistry: thermodynamics with Lambda hep-th · 2016-08-22 · accept · none · ref 273 · internal anchor

    Treating the cosmological constant as pressure in black hole thermodynamics yields an extended dictionary with enthalpy, thermodynamic volume, and chemical-like phase transitions including Van der Waals behavior, reentrant transitions, and triple points.

  • Subtleties in non-equilibrium horizon thermodynamics of modified gravity theories gr-qc · 2026-04-06 · unverdicted · none · ref 6

    Entropy production terms in non-equilibrium horizon thermodynamics of modified gravity have distinct origins and roles depending on whether Rindler or apparent horizons are used.