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Entropy in the interior of a Kerr black hole

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arxiv 1803.09649 v2 pith:ZPVZ7M7E submitted 2018-03-23 gr-qc hep-ph

Entropy in the interior of a Kerr black hole

classification gr-qc hep-ph
keywords blackentropyholeinteriorvolumekerrschwarzschildbeen
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

Christodoulou and Rovelli have shown that the maximal interior volume of a Schwarzschild black hole linearly grows with time. Recently, their conclusion has been extended to the Reissner{-}Nordstr$\ddot{\text{o}}$m and Kerr black holes. Meanwhile, the entropy of interior volume in a Schwarzschild black hole has also been calculated. Here, a new method calculating the entropy of interior volume of the black hole is given and it can be used in more general cases. Using this method, the entropy associated with the volume of a Kerr black hole is calculated and it is found that the entropy is proportional to the Bekenstein-Hawking entropy in the early stage of black hole evaporation. Using the differential form, the entropy of interior volume in a Schwarzschild black hole is recalculated. It is shown that the proportionality coefficient between the entropy and the Bekenstein-Hawking entropy is half of that given in the previous literature. Moreover, the black hole information paradox is brought up again and discussed.

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  1. Aspects of the Black Hole Interior Volume and Entropy

    gr-qc 2025-09 unverdicted novelty 2.0

    A doctoral thesis compiles and reproduces prior semiclassical results claiming the interior scalar-mode entropy of black holes is proportional to horizon entropy with a coefficient less than one.