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Attempts at vacuum counterexamples to cosmic censorship in AdS

Published version
Peer-reviewed

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Type

Article

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Authors

Crisford, T 
Horowitz, GT 
Santos, JE 

Abstract

We consider vacuum solutions of four dimensional general relativity with Λ<0. We numerically construct stationary solutions that asymptotically approach a boundary metric with differential rotation. Smooth solutions only exist up to a critical rotation. We thus argue that increasing the differential rotation by a finite amount will cause the curvature to grow without bound. This holds for both zero and nonzero temperature, and both compact and noncompact boundaries. However, the boundary metric always develops an ergoregion before reaching the critical rotation, which probably means that the energy is unbounded from below for these counterexamples to cosmic censorship.

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Keywords

Spacetime Singularities, Black Holes, Gauge-gravity correspondence

Journal Title

Journal of High Energy Physics

Conference Name

Journal ISSN

1126-6708
1029-8479

Volume Title

2019

Publisher

Springer Science and Business Media LLC
Sponsorship
Science and Technology Facilities Council (1626020)
STFC (1626020)
Science and Technology Facilities Council (ST/L000636/1)
Science and Technology Facilities Council (ST/P000681/1)
Science and Technology Facilities Council (ST/P000673/1)