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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
physics and astronomy
Critical collapse in (2 + 1)-dimensional AdS spacetime: Quasi-CSS solutions and linear perturbations
Nuclear Physics B, Volume 630, No. 1-2, Year 2002
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Description
We construct a one-parameter family of exact time-dependent solutions to 2 + 1 gravity with a negative cosmological constant and a massless minimally coupled scalar field as source. These solutions present a continuously self-similar (CSS) behavior near the central singularity, as observed in critical collapse, and an asymptotically AdS behavior at spatial infinity. We consider the linear perturbation analysis in this background, and discuss the crucial question of boundary conditions. These are tested in the special case where the scalar field decouples and the linear perturbations describe exactly the small-mass static BTZ black hole. In the case of genuine scalar perturbations, we find a growing mode with a behavior characteristic of supercritical collapse, the spacelike singularity and apparent horizon appearing simultaneously and evolving towards the AdS boundary. Our boundary conditions lead to the value of the critical exponent γ = 0.4. © 2002 Published by Elsevier Science B.V.
Authors & Co-Authors
Clément, Gérard
France, Annecy le Vieux
Lapth Laboratoire D'annecy-le-vieux de Physique Theorique
Statistics
Citations: 21
Authors: 1
Affiliations: 2
Identifiers
Doi:
10.1016/S0550-3213(02)00183-9
ISSN:
05503213