2-9 July 2014
Valencia, Spain
Europe/Madrid timezone

A scenario for critical scalar field collapse in AdS_3

5 Jul 2014, 16:30
Sala 8+9 ()

Sala 8+9

Oral presentation Formal Theory Developments Formal Theory Developments


Dr. Alessandro Fabbri (Centro Fermi / Univ. Bologna / IFIC (CSIC))


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. For b = 0 these solutions reduce to the static BTZ family of vacuum solutions, with mass M =-alpha. For nonvanishing b, 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 subcritical collapse. We analyze the linear perturbations of the threshold solution, alpha = 0, in the Lambda = 0 approximation, and find that it has only one unstable growing mode, which qualifies it as a candidate critical solution for scalar field collapse.

Primary author

Dr. Alessandro Fabbri (Centro Fermi / Univ. Bologna / IFIC (CSIC))

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