Dynamics of critical collapse

Abstract

Critical collapse of a massless scalar field in spherical symmetry is systematically studied. We combine numerical simulations and asymptotic analysis, and synthesize critical collapse, spacetime singularities, and complex science. First set of approximate analytic expressions near the center are obtained. We observe that, near the center, the spacetime is nearly conformally flat, the dynamics is not described by the Kasner solution, and the Kreschmann scalar is proportional to r^(-5.30), where r is the areal radius. These features are significantly different from those in black hole singularities. It is speculated that the scalar field in critical collapse may be a special standing wave.

Title changed. 11 pages, 8 figures, 1 table

References in corpus (3)

• Aspherical deformations of the Choptuik spacetime
• On the cosmological singularity
• Geometrodynamics: The Nonlinear Dynamics of Curved Spacetime

Cited by in corpus (6)

• Strength of the naked singularity in critical collapse
• Energy in critical collapse
• New results on the dynamics of critical collapse
• Dynamics near the central singularity in spherical collapse
• Cosmic Censorship of Trans-Planckian Field Ranges in Gravitational Collapse
• Critical phenomena in gravitational collapse of Husain-Martinez-Nunez scalar field