Collapsing shells, critical phenomena and black hole formation

Abstract

We study the gravitational collapse of two thin shells of matter, in asymptotically flat spacetime or constrained to move within a spherical box. We show that this simple two-body system has surprisingly rich dynamics, which includes prompt collapse to a black hole, perpetually oscillating solutions or black hole formation at arbitrarily large times. Collapse is induced by shell crossing and the black hole mass depends sensitively on the number of shell crossings. At certain critical points, the black hole mass exhibits critical behavior, determined by the change in parity (even or odd) of the number of crossings, with or without mass-gap during the transition. Some of the features we observe are reminiscent of confined scalars undergoing "turbulent" dynamics.

5 pages, RevTex 4. v2: minor corrections. To appear in Physical Review D

References in corpus (9)

• The high-energy collision of two black holes
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• The instability of anti-de Sitter space-time
• Oscillating Shells and Oscillating Balls in AdS
• Energy conditions for non-timelike thin shells
• High energy collision without fine tuning: Acceleration and multiple collisions of shells in a bound system
• Gravitational systems in asymptotically anti-de Sitter space-times
• Repeated crossing of two concentric spherical thin-shells with charge
• Horizon Quantum Mechanics of collapsing shells
• Gravitational Effects of Sources Inspired by ideal Electromagnetic Fields in Spherical Painlevé-Gullstrand Coordinates
• Energy transfer in the collision of two scalar wave packets in spherical symmetry