TY  - JOUR
AU  - Clement, G.
AU  - Fabbri, A.
PY  - 2015
DA  - 2015//
TI  - A scenario for critical scalar field collapse in AdS(3)
T2  - Class. Quantum Gravity
JO  - Classical and Quantum Gravity
SP  - 095009
EP  - 16pp
VL  - 32
IS  - 9
PB  - Iop Publishing Ltd
KW  - critical collapse
KW  - exact solutions
KW  - AdS(3)
AB  - 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.
SN  - 0264-9381
UR  - http://arxiv.org/abs/1404.0589
UR  - https://doi.org/10.1088/0264-9381/32/9/095009
DO  - 10.1088/0264-9381/32/9/095009
LA  - English
N1  - WOS:000353351500009
ID  - Clement+Fabbri2015
ER  -