Further evidence for the weak gravity -- cosmic censorship connection

Abstract

We have recently shown that a class of counterexamples to (weak) cosmic censorship in anti-de Sitter spacetime is removed if the weak gravity conjecture holds. Surprisingly, the minimum value of the charge to mass ratio necessary to preserve cosmic censorship is precisely the weak gravity bound. To further explore this mysterious connection, we investigate two generalizations: adding a dilaton or an additional Maxwell field. Analogous counterexamples to cosmic censorship are found in these theories if there is no charged matter. Even though the weak gravity bound is modified, we show that in each case it is sufficient to remove these counterexamples. In most cases it is also necessary.

23 pages, 12 figures, v2: two comments added

References in corpus (2)

• Hairy black holes and the endpoint of AdS${}_4$ charged superradiance
• Hovering Black Holes from Charged Defects

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