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Infinite Volume of Noncommutative Black Hole Wrapped by Finite Surface
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The volume of a black hole under noncommutative spacetime background is found to be infinite, in contradiction with the surface area of a black hole, or its Bekenstein-Hawking (BH) entropy, which is well-known to be finite. Our result rules out the possibility of interpreting the entropy of a black hole by counting the number of modes wrapped inside its surface if the final evaporation stage can be properly treated. It implies the statistical interpretation for the BH entropy can be independent of the volume, provided spacetime is noncommutative. The effect of radiation back reaction is found to be small and doesn't influence the above conclusion.
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Cited by 1 Pith paper
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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.
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