Kinematics of discretely self-similar spherically symmetric spacetimes

Abstract

We summarize the consequences of the twin assumptions of (discrete) self-similarity and spherical symmetry for the global structure of a spacetime. All such spacetimes can be constructed from two building blocks, the "fan" and "splash". Each building block contains one radial null geodesic that is invariant under the self-similarity (self-similarity horizon).

arXiv commentRevTex, 11 pages, 7 eps figures

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Cited by in corpus (8)

• Critical phenomena in gravitational collapse
• Global structure of Choptuik's critical solution in scalar field collapse
• Existence of naked singularities in Brans-Dicke theory of gravitation. An analytical and numerical study
• Quantum group symmetry and discrete scale invariance: Spectral aspects
• Unveiling horizons in quantum critical collapse
• Black Hole Critical Collapse in Infinite Dimensions: Continuous Self-Similar Solutions
• Gravitational collapse of a spherical scalar field
• Quantum Critical Collapse Abhors a Naked Singularity