Analytical approach to critical collapse in 2+1 dimensions

Details Analytical approach to critical collapse in 2+1 dimensions Analytical approach to critical collapse in 2+1 dimensions

2001-12-11

arxiv.org/abs/gr-qc/0112023v1

Grav.Cosmol.Suppl. 8N2 (2002) 33-36

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 2 figures, plenary talk presented at the V$^{th}$ International Conference on Gravitation and Astrophysics of Asian-P

Scientific paper

We present a family of time-dependent solutions to 2+1 gravity with negative cosmological constant and a massless scalar field as source. These solutions are continuously self-similar near the central singularity. We analyze linear perturbations of these solutions, and discuss the subtle question of boundary conditions. We find two growing modes, one of which corresponds to the linearization of static singular solutions, while the other describes black hole formation.

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