2019/08/31 by Sarbari Guha, Samarjit Chakraborty
Physics and Astronomy · #Binary black hole #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Charged black hole #Entropy (arrow of time) #Extremal black hole #Gravitation #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory #Rotating black hole #White hole #gr-qc #hep-th
paper · pdf · doi:10.1142/s0218271820500340
published as International Journal of Modern Physics D, Vol. 29, No. 5 (2020) · 17 pages, 18 figures
openalex created_date 2019/08/22 · arxiv created 2019/12/02 · openalex publication_date 2020/02/06 · arxiv updated 2021/02/19 · openalex updated_date 2026/08/05
In this paper, we have examined the validity of a proposed definition of gravitational entropy in the context of accelerating black hole solutions of the Einstein field equations, which represent the realistic black hole solutions. We have adopted a phenomenological approach proposed in Rudjord et al. [Phys. Scr. 77, 055901 (2008)] and expanded by Romero et al. [Int. J. Theor. Phys. 51, 925 (2012)], in which the Weyl curvature hypothesis is tested against the expressions for the gravitational entropy. Considering the [Formula: see text]-metric for the accelerating black holes, we have evaluated the gravitational entropy and the corresponding entropy density for four different types of black holes, namely, nonrotating black hole, nonrotating charged black hole, rotating black hole and rotating charged black hole. We end up by discussing the merits of such an analysis and the possible reason of failure in the particular case of rotating charged black hole and comment on the possible resolution of the problem.