@Article{Clement+Fabbri2015,
author="Clement, G.
and Fabbri, A.",
title="A scenario for critical scalar field collapse in AdS(3)",
journal="Classical and Quantum Gravity",
year="2015",
publisher="Iop Publishing Ltd",
volume="32",
number="9",
pages="095009--16pp",
optkeywords="critical collapse; exact solutions; AdS(3)",
abstract="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.",
optnote="WOS:000353351500009",
optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=2192), last updated on Fri, 15 May 2015 12:18:33 +0000",
issn="0264-9381",
doi="10.1088/0264-9381/32/9/095009",
opturl="http://arxiv.org/abs/1404.0589",
opturl="https://doi.org/10.1088/0264-9381/32/9/095009",
archivePrefix="arXiv",
eprint="1404.0589",
language="English"
}