For a large-mass loop-quantum-corrected black hole pierced by a cosmic string, the paper derives the evolution relation between interior entropy and Bekenstein-Hawking entropy and shows the total satisfies the second law.
Information paradox and corrected thermodynamics for black holes
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abstract
We generally consider that entropy and temperature of a spherically symmetric black hole are corrected by quantum effect. We calculate interior entropy variation of massless scalar field and compare it with corrected Bekenstein-Hawking entropy variation for the evaporating black hole. We find that the corrected ratio between them is greater than the uncorrected one. The information paradox is then discussed.
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Evolution of interior entropy of a loop quantum-corrected black hole pierced by a cosmic string
For a large-mass loop-quantum-corrected black hole pierced by a cosmic string, the paper derives the evolution relation between interior entropy and Bekenstein-Hawking entropy and shows the total satisfies the second law.