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arXiv:1503.08245gr-qc

The Persistence of the Large Volumes in Black Holes

Yen Chin Ong

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Abstract

Classically, black holes admit maximal interior volumes that grow asymptotically linearly in time. We show that such volumes remain large when Hawking evaporation is taken into account. Even if a charged black hole approaches the extremal limit during this evolution, its volume continues to grow; although an exactly extremal black hole does not have a "large interior". We clarify this point and discuss the implications of our results to the information loss and firewall paradoxes.

arXiv comments
Version accepted by Gen. Relativ. Gravit; refs. updated
Journal reference
Gen. Relativ. Gravit. 47 (2015) 88
DOI
doi:10.1007/s10714-015-1929-x
Subjects
gr-qcGeneral Relativity and Quantum Cosmology hep-thHigh Energy Physics, Theory

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    • Neglecting evaporation, it's a lot closer to Yen Chin Ong's results (and those he cites, especially Christodoulou and Rovelli [2]) than most of the comments throughout this discussion, in that with a careful choice of time coordinate a spacelike spherical sector of a…

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