Violation of First Law of Thermodynamics in f(R,T) Gravity

Abstract

In this Letter, we derived the first law of thermodynamics using the method proposed by Wald. Treating the entropy as Noether charge and comparing with the usual first law of thermodynamics, we obtained the expression of entropy explicitly which contains infinitely many non-local terms (i.e. the integral terms). We have proved, in general, that the first law of black bole thermodynamics is violated for $f(R,T)$ gravity. But there might exist some special cases in which the first law for $f(R,T)$ gravity is recovered.

arXiv comment6 pages

References in corpus (22)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• f(R,T) gravity
• Black Hole Entropy is Noether Charge
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Disappearing cosmological constant in f(R) gravity
• Non-equilibrium Thermodynamics of Spacetime
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Reconstruction of some cosmological models in f(R,T) gravity
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Angular Power Spectra
• Thermodynamics in f(R,T) Theory of Gravity
• Modified gravity models of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Galactic Foreground Emission
• Reconstructing $f(R,T)$ gravity from holographic dark energy
• Violation of the first law of black hole thermodynamics in $f(T)$ gravity
• Noether Symmetry Approach in f(R) Tachyon Model
• Noether Gauge Symmetry Approach in f(R) Gravity
• Statefinder diagnostic and stability of modified gravity consistent with holographic and new agegraphic dark energy

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