Thermodynamics of $f(R)$ Theories of Gravity

Abstract

This paper starts from a toy model for inflation in a class of modified theories of gravity in the metric formalism. Instead of the standard procedure -- assuming a non-linear Lagrangian $f(R)$ in the Jordan frame -- we start from a simple ${\varphi }^2$ potential in the Einstein frame and investigate the corresponding $f(R)$ in the former picture. The addition of an ad-hoc Cosmological Constant in the Einstein frame leads to a Thermodynamical interpretation of this physical system, which allows further insight on its (meta)stability and evolution.

arXiv comment13 pages, 11 figures. Matches version accepted for publication in JCAP

References in corpus (19)

• f(R) Theories Of Gravity
• f(R) theories
• Extended Theories of Gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• The cosmological constant and the black hole equation of state
• Reheating in Inflationary Cosmology: Theory and Applications
• Do consistent $F(R)$ models mimic General Relativity plus $\Lambda$?
• Inflationary Cosmology
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• On Physical Equivalence between Nonlinear Gravity Theories
• Curing singularities in cosmological evolution of F(R) gravity
• Dark Energy: the equation of state description versus scalar-tensor or modified gravity
• Stochastic inflation in phase space: Is slow roll a stochastic attractor?
• Phantom boundary crossing and anomalous growth index of fluctuations in viable f(R) models of cosmic acceleration
• Consistency relation for $R^p$ inflation
• Future Oscillations around Phantom Divide in f(R) Gravity
• $\gamma$ gravity: Steepness control

Cited by in corpus (2)

• Thermodynamical correspondence of $f(R)$ gravity in Jordan and Einstein frames
• The Smarr formula within the Geroch-Held-Penrose formalism