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