2015/02/04 by Saugata Mitra, Subhajit Saha, Subenoy Chakraborty
Physics and Astronomy · #Apparent horizon #Black Holes and Theoretical Physics #Bounded function #Cosmology and Gravitation Theories #Dark energy #Entropy (arrow of time) #Extended irreversible thermodynamics #First law of thermodynamics #Friedmann–Lemaître–Robertson–Walker metric #Laws of thermodynamics #Noncommutative and Quantum Gravity Theories #Second law of thermodynamics #gr-qc
paper · pdf · doi:10.1016/j.aop.2015.01.025
published as Annals of Physics 355, 1 (2015)
openalex publication_date 2015/02/04 · openalex created_date 2016/06/24 · arxiv created 2016/10/27 · arxiv updated 2016/11/02 · openalex updated_date 2026/08/05
The present work deals with a detailed study of universal thermodynamics in different modified gravity theories. The validity of the generalized second law of thermodynamics (GSLT) and thermodynamical equilibrium (TE) of the Universe bounded by a horizon (apparent/event) in f(R)-gravity, Einstein-Gauss-Bonnet gravity, RS-II brane scenario and DGP brane model has been investigated. In the perspective of recent observational evidences, the matter in the Universe is chosen as interacting holographic dark energy model. The entropy on the horizons are evaluated from the validity of the unified first law and as a result there is a correction (in integral form) to the usual Bekenstein entropy. The other thermodynamical parameter namely temperature on the horizon is chosen as the recently introduced corrected Hawking temperature. The above thermodynamical analysis is done for homogeneous and isotropic flat FLRW model of the Universe. The restrictions for the validity of GSLT and the TE are presented in tabular form for each gravity theory. Finally, due to complicated expressions, the validity of GSLT and TE are also examined from graphical representation, using three Planck data sets.