First law of thermodynamics and entropy of FLRW universe in modified gravity

Abstract

We investigate the first law of thermodynamics and entropy associated to the apparent horizon of (non-flat) FLRW space-time in different theories of modified gravity and in the presence of a perfect fluid of matter. We pose our attention on those theories which lead to second order differential field equations on FLRW background. In this way, we observe that one may obtain a formula for entropy in terms of the radius of the apparent horizon only. Thus, when considering a modification to the area law of General Relativity, it is possible to reconstruct the gravitational lagrangian consistent with the corresponding first law.

12 pages

References in corpus (17)

• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• 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
• Friedmann Equations of FRW Universe in Scalar-tensor Gravity, f(R) Gravity and First Law of Thermodynamics
• Quantum Tunneling and Back Reaction
• Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Cosmology with Mimetic Matter
• Thermodynamics of Apparent Horizon in Brane World Scenario
• Quantum Tunneling and Trace Anomaly
• Thermodynamics in $F(R)$ gravity with phantom crossing
• Barrow Entropy Cosmology: an observational approach with a hint of stability analysis
• Logarithmic correction to black hole entropy from the nonlocality of quantum gravity
• Topological Static Spherically Symmetric vacuum Solutions in $\mathcal{F}(R,G)$ Gravity
• Thermodynamics of $f(R)$ Gravity with Disformal Transformation
• An attempt to add Barrow entropy in $f(R)$ gravity

Cited by in corpus (4)

• Revisited apparent horizon entropy and GSL in modified gravity
• A dynamical systems perspective on the thermodynamics of late-time cosmology
• Revealing some cosmological aspects of Kaniadakis entropy
• First-order phase transitions and cosmic evolution: thermodynamic approach to generalized holographic dark energy