Extremal Bifurcations of Rotating AdS${}_4$ Black Holes

Abstract

The Weak Gravity Conjecture arises from the assertion that all extremal black holes, even those which are "classical" in the sense of being very massive, must decay by quantum-mechanical emission of particles or smaller black holes. This is interesting, because some observed astrophysical black holes are on the brink of being extremal -- though this is due to rapid rotation rather than a large electric or magnetic charge. The possibility that rotating near-extremal black holes might, in addition to radiating spinning particles, also bifurcate by emitting smaller black holes, has attracted much attention of late. There is, however, a basic question to be answered here: can such a bifurcation be compatible with the second law of thermodynamics? This is by no means clear. Here we show that, if there is indeed such a mechanism for bifurcations of AdS${}_4$-Kerr-Newman black holes, then this process can in fact satisfy the second law.

Extensive revision including new title; 26 pages, 10 Figures; version to appear in JHEP

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Cited by in corpus (4)

• Macroscopic quantum tunneling: from quantum vortices to black holes and Universe
• Weak Cosmic Censorship Conjecture in Myers-Perry Black Hole with Separability
• Why is Black Hole Entropy Affected by Rotation?
• Planar Black Holes as a Route to Understanding the Weak Gravity Conjecture