Volume 123, Number 2, July 2018
|Number of page(s)||6|
|Published online||23 August 2018|
Volumetric maxima to be attained by a nonstatic black hole
Department of Mathematics, The University of Burdwan - Golapbag Academic Complex, Burdwan-713104, Purba Barddhaman, West Bengal, India
Received: 18 April 2018
Accepted: 30 July 2018
Christodoulou and Rovelli have calculated the maximal interior volume of a Schwarzschild black hole which linearly grows with time. Recently, the entropy of the 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 the thermodynamics is studied.
PACS: 04.70.-s – Physics of black holes / 02.40.Gh – Noncommutative geometry / 04.70 Dy –
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