2018/12/04 by Saira Waheed, M. Zubair
Physics and Astronomy · #Apparent horizon #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Entropy (arrow of time) #First law of thermodynamics #Friedmann–Lemaître–Robertson–Walker metric #H-theorem #Logarithm #Second law of thermodynamics #Statistical Mechanics and Entropy #Time derivative #Torsion (gastropod) #physics.gen-ph
paper · pdf · doi:10.1140/epjc/s10052-019-6843-z
published as Eur. Phys. J. C (2019) 79:333 · 23 pages, 15 figures
arxiv created 2018/12/04 · openalex publication_date 2019/04/01 · openalex created_date 2019/04/25 · arxiv updated 2019/06/07 · openalex updated_date 2026/08/05
The present study is elaborated to investigate the validity of thermodynamical laws in a modified teleparallel gravity based on higher-order derivative terms of torsion scalar. For this purpose, we consider spatially flat FRW model filled with perfect fluid matter contents. Firstly, we explore the possibility of existence of equilibrium as well as non-equilibrium picture of thermodynamics in this extended version of teleparallel gravity. Here, we present the first law and the generalized second law of thermodynamics (GSLT) using Hubble horizon. It is found that non-equilibrium description of thermodynamics exists in this theory with the presence of an extra term called as entropy production term. We also establish GSLT using the logarithmic corrected entropy. Further, by taking the equilibrium picture, we discuss validity of GSLT at Hubble horizon for two different F models. Using Gibbs law and the assumption that temperature of matter within Hubble horizon is similar to itself, We use different choices of scale factor to discuss the GSLT validity graphically in all scenarios. It is found that the GSLT is satisfied for a specified range of free parameters in all cases.