%0 Journal Article
%T A scenario for critical scalar field collapse in AdS(3)
%A Clement, G.
%A Fabbri, A.
%J Classical and Quantum Gravity
%D 2015
%V 32
%N 9
%I Iop Publishing Ltd
%@ 0264-9381
%G English
%F Clement+Fabbri2015
%O WOS:000353351500009
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=2192), last updated on Fri, 15 May 2015 12:18:33 +0000
%X We present a family of exact solutions, depending on two parameters alpha and b (related to the scalar field strength), to the three-dimensional Einstein-scalar field equations with negative cosmological constant Lambda. For b not equal 0 these solutions reduce to the static Banados-Teitelboim-Zanelli (BTZ) family of vacuum solutions, with mass M = -alpha. For b not equal 0, the solutions become dynamical and develop a strong spacelike central singularity. The alpha < 0 solutions are black-hole like, with a global structure topologically similar to that of the BTZ black holes, and a finite effective mass. We show that the near-singularity behavior of the solutions with alpha > 0 agrees qualitatively with that observed in numerical simulations of sub-critical collapse, including the independence of the near-critical regime on the angle deficit of the spacetime. We analyze in the Lambda = 0 approximation the linear perturbations of the self-similar threshold solution, alpha = 0, and find that it has only one unstable growing mode, which qualifies it as a candidate critical solution for scalar field collapse.
%K critical collapse
%K exact solutions
%K AdS(3)
%R 10.1088/0264-9381/32/9/095009
%U http://arxiv.org/abs/1404.0589
%U https://doi.org/10.1088/0264-9381/32/9/095009
%P 095009-16pp