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Collapse and Nonlinear Instability of AdS Space with Angular Momentum.

Published version
Peer-reviewed

Type

Article

Change log

Authors

Choptuik, Matthew W 
Dias, Óscar JC 
Santos, Jorge E 
Way, Benson 

Abstract

We present a numerical study of rotational dynamics in AdS_{5} with equal angular momenta in the presence of a complex doublet scalar field. We determine that the endpoint of gravitational collapse is a Myers-Perry black hole for high energies and a hairy black hole for low energies. We investigate the time scale for collapse at low energies E, keeping the angular momenta J∝E in anti-de Sitter (AdS) length units. We find that the inclusion of angular momenta delays the collapse time, but retains a t∼1/E scaling. We perturb and evolve rotating boson stars, and find that boson stars near AdS space appear stable, but those sufficiently far from AdS space are unstable. We find that the dynamics of the boson star instability depend on the perturbation, resulting either in collapse to a Myers-Perry black hole, or development towards a stable oscillating solution.

Description

Keywords

hep-th, hep-th

Journal Title

Phys Rev Lett

Conference Name

Journal ISSN

0031-9007
1079-7114

Volume Title

119

Publisher

American Physical Society (APS)

Rights

All rights reserved
Sponsorship
Science and Technology Facilities Council (ST/P000681/1)
Science and Technology Facilities Council (ST/P000673/1)
Science and Technology Facilities Council (ST/H008586/1)
Science and Technology Facilities Council (ST/K00333X/1)
Science and Technology Facilities Council (ST/J005673/1)
Science and Technology Facilities Council (ST/L000636/1)
European Research Council (646597)