Collapse and Nonlinear Instability of AdS Space with Angular Momentum.


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)