The Persistence of the Large Volumes in Black Holes

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.

Version accepted by Gen. Relativ. Gravit; refs. updated

References in corpus (12)

• How big is a black hole?
• Radiation from a collapsing object is manifestly unitary
• Entanglement entropy and negative energy in two dimensions
• Black hole entropy, curved space and monsters
• Black holes: Their large interiors
• What Black Holes Can Teach Us
• Never Judge a Black Hole by Its Area
• Last gasp of a black hole: unitary evaporation implies non-monotonic mass loss
• Introduction to Quantum Fields in Curved Spacetime and the Hawking Effect
• Cold Black Holes in the Harlow-Hayden Approach to Firewalls
• Classics Illustrated: Limits of Spacetimes
• A Tale of Two Horizons

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• A Complementary Third Law for Black Hole Thermodynamics
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• Black Hole: The Interior Spacetime
• A divergent volume for black holes calls for no "firewall"
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• Gravitational field of a pit and maximal mass defects
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• Black Holes as a Gateway to the Quantum: Classical and Semi-Classical Explorations