First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe

Abstract

Applying the first law of thermodynamics to the apparent horizon of a Friedmann-Robertson-Walker universe and assuming the geometric entropy given by a quarter of the apparent horizon area, we derive the Friedmann equations describing the dynamics of the universe with any spatial curvature. Using entropy formulae for the static spherically symmetric black hole horizons in Gauss-Bonnet gravity and in more general Lovelock gravity, where the entropy is not proportional to the horizon area, we are also able to obtain the Friedmann equations in each gravity theory. We also discuss some physical implications of our results.

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• Disentangling the Cosmic/Comoving Duality: The Cognitive Stability and Typicality Tests
• Model-independent reconstruction of cosmic thermodynamics and dark energy dynamics
• From MOND entropy to extended uncertainty principles: A unified framework
• FRW Universe in Horava Gravity
• Cosmology with Logarithmic Corrected Horizon Entropy According to the Generalized Entropy and Variable-G Correspondence
• Bouncing cosmology, $F(T)$ teleparallel gravity and entropy of apparent horizon
• Statistical physics on Euclidean Snyder space: connections with the GUP and cosmological implications
• A Combined Barrow Entropy and QCD Ghost Mechanism for Late-Time Cosmic Acceleration
• Fold bifurcation entangled surfaces for one-dimensional Kitaev lattice model
• Background instability of quintessence model in light of entropy and distance conjecture
• Cosmological Implications of Thermodynamic Split Conjecture
• Generalized Second Law and Thermodynamical Aspects of $f(Q,\mathcal{T})$ Gravity
• First-order phase transitions and cosmic evolution: thermodynamic approach to generalized holographic dark energy
• Thermodynamic Split Conjecture and an Observational Test for Cosmological Entropy
• Heat Capacity and the Violation of Scaling Laws in Gravitational System
• Thermodynamics of Apparent Horizon and Friedmann Equations in Big Bounce Universe
• Thermodynamic aspects of FLRW Universe in Einstein-Gauss-Bonnet domains
• Cosmology and Non-additive Entropy
• Thermodynamics of the FRW universe at the event horizon in Palatini f(R) gravity
• Modifying horizon thermodynamics by surface tensions
• Evolving Horava Cosmological Horizons
• Emergence of cosmological Friedmann equations from quantum entanglement
• Modified Cosmology from Mass-to-Horizon Relation: Background Evolution
• Thermodynamic reconstruction in observationally constrained dynamical dark energy models