Entropy corresponding to the interior of a Schwarzschild black hole

Interior volume within the horizon of a black hole is a non-trivial concept which turns out to be very important to explain several issues in the context of quantum nature of black hole. Here we show that the entropy, contained by the {\it maximum} interior volume for massless modes, is proportional...

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Bibliographic Details
Published in:arXiv.org 2017-05
Main Authors: Majhi, Bibhas Ranjan, Samanta, Saurav
Format: Article
Language:English
Subjects:
Black holes
Entropy
Horizon
Maximum entropy
Online Access:Get full text
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Summary:Interior volume within the horizon of a black hole is a non-trivial concept which turns out to be very important to explain several issues in the context of quantum nature of black hole. Here we show that the entropy, contained by the {\it maximum} interior volume for massless modes, is proportional to the Bekenstein-Hawking expression. The proportionality constant is less than unity implying the horizon bears maximum entropy than that by the interior. The derivation is very systematic and free of any ambiguity. To do so the precise value of the energy of the modes, living in the interior, is derived by constraint analysis. Finally, the implications of the result are discussed.
ISSN:2331-8422
DOI:10.48550/arxiv.1703.00142