The generalized second law of thermodynamics for interacting f(R) gravity

2014/06/24 by Ramón Herrera, Ramon Herrera, Nelson Videla · 18 citations
Physics and Astronomy · #Apparent horizon #Black Holes and Theoretical Physics #Boundary value problem #Context (archaeology) #Cosmology and Gravitation Theories #Curvature #Deceleration parameter #Entropy (arrow of time) #Friedmann–Lemaître–Robertson–Walker metric #Gravitation #Second law of thermodynamics #Statistical Mechanics and Entropy #Universe #gr-qc

paper · pdf · doi:10.1142/s0218271814500710

published in International Journal of Modern Physics D 23(08), 1450071 (World Scientific) · 19 pages, 3 figures. arXiv admin note: text overlap with arXiv:1401.8283

arxiv created 2014/06/24 · openalex publication_date 2014/07/01 · arxiv updated 2015/06/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In this paper, we examine the validity of the generalized second law (GSL) of gravitational thermodynamics in the context of interacting f(R) gravity. We take into account that the boundary of the universe to be confined by the dynamical apparent horizon in a flat FRW universe. We study the effective equation of state, deceleration parameter and GSL in this interaction-framework. We find that the evolution of the total entropy increases through the interaction term. As an example, we consider a f(R) gravity with a power-law dependence on the curvature R. Here, we find exact solutions for a model in which the interaction term is related to the total energy density of matter.

Citations

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