2021/11/01 by Hassan Basari V. T., T., Hassan Basari V., P. B. Krishna +3
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)
paper · pdf · doi:10.48550/arxiv.2111.00726
openalex publication_date 2021/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It has shown that the accelerated expansion of the FRW Universe can be explained as the quest towards the holographic equipartition (Nsur = Nbulk), satisfies the expansion law (dV)/(dt) = lP2 ( Nsur - εNbulk ), from which one can derive the Friedmann equation of the FRW Universe in Einstein gravity \citepaddy2012jun. We introduce a generic derivation of the expansion law from the generalized first law of thermodynamics -dE=TdS and dE=TdS + WdV. The generic derivation provides an expression for Nsur in terms of entropy S and the expansion law consistent with gravity theories having different entropy S, like Gauss-Bonnet and more general Lovelock gravity. We extended the same idea to the non-equilibrium situation and obtained the expansion law in f(R) gravity as a specific case. For this, we used the first law of thermodynamics in non-equilibrium description having the extra entropy production term TdiS.