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arxiv: 1903.03429 · v1 · pith:V72QVCVHnew · submitted 2019-02-27 · 🌀 gr-qc

Volumetric Maxima to be Attained by a Nonstatic Black Hole

classification 🌀 gr-qc
keywords volumeblackcalculatedholeinteriormetricmodifiedtime
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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.

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