The naked singularity in the global structure of critical collapse spacetimes

Abstract

We examine the global structure of scalar field critical collapse spacetimes using a characteristic double-null code. It can integrate past the horizon without any coordinate problems, due to the careful choice of constraint equations used in the evolution. The limiting sequence of sub- and supercritical spacetimes presents an apparent paradox in the expected Penrose diagrams, which we address in this paper. We argue that the limiting spacetime converges pointwise to a unique limit for all r>0, but not uniformly. The r=0 line is different in the two limits. We interpret that the two different Penrose diagrams differ by a discontinuous gauge transformation. We conclude that the limiting spacetime possesses a singular event, with a future removable naked singularity.

RevTeX 4; 6 pages, 7 figures

References in corpus (2)

• Critical phenomena in gravitational collapse (Physics Reports)
• Global structure of Choptuik's critical solution in scalar field collapse

Cited by in corpus (10)

• Critical phenomena in gravitational collapse
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• Collapse of Charged Scalar Field in Dilaton Gravity
• Dynamics of colliding branes and black brane production
• The affine-null formulation of the gravitational equations: spherical case
• Inside charged black holes I. Baryons
• Adaptive gauge method for long-time double-null simulations of spherical black-hole spacetimes
• Unveiling horizons in quantum critical collapse
• Gravitational collapse of a spherical scalar field
• Quantum Critical Collapse Abhors a Naked Singularity