Volumetric Maxima to be Attained by a Nonstatic Black Hole
General Relativity and Quantum Cosmology
2019-03-11 v1
Abstract
Christodoulou and Rovelli have calculated maximal interior volume of a Schwarzschild black hole which linearly grows with time. Recently, the entropy of interior volume in a Schwarzschild black hole has also been calculated. In this article, the Eddington-Finkelstein metric is slightly modified. This modified metric satisfies Einstein's equations. The interior volume of a black hole is also calculated with the modified metric. The volume explicitly depends on a function of time, different from the Christodoulou and Rovelli volume. Also entropy is calculated corresponding to the volume which is proportional to the square of a function of time and thermodynamics is studied.
Cite
@article{arxiv.1903.03429,
title = {Volumetric Maxima to be Attained by a Nonstatic Black Hole},
author = {Sandip Dutta and Ritabrata Biswas and Prasanta Choudhury},
journal= {arXiv preprint arXiv:1903.03429},
year = {2019}
}