Cauchy horizon stability in self-similar collapse: scalar radiation

Abstract

The stability of the Cauchy horizon in spherically symmetric self-similar collapse is studied by determining the flux of scalar radiation impinging on the horizon. This flux is found to be finite.

10 pages. To appear in Phys Rev D

References in corpus (3)

• Convergence to a self-similar solution in general relativistic gravitational collapse
• Stability criterion for self-similar solutions with perfect fluids in general relativity
• On the existence of self-similar spherically symmetric wave maps coupled to gravity

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• Even perturbations of self-similar Vaidya space-time
• Semiclassical Instability of the Cauchy Horizon in Self-Similar Collapse
• Odd-parity perturbations of self-similar Vaidya spacetime
• Odd Parity Perturbations of the Self-Similar LTB Spacetime
• Bounds for scalar waves on self-similar naked-singularity backgrounds
• Gauge invariant perturbations of self-similar Lemaître-Tolman-Bondi spacetime: even parity modes with $l\ge 2$
• Unveiling horizons in quantum critical collapse
• Electromagnetic radiation due to naked singularity formation in self-similar gravitational collapse
• Stability analysis of self-similar behaviors in perfect fluid gravitational collapse
• Perturbation theory of spherically symmetric self-similar black holes
• Cauchy horizon stability in a collapsing spherical dust cloud. II: Energy bounds for test fields and odd-parity gravitational perturbations
• On the behaviour of non-radial null geodesics in self-similar Tolman-Bondi collapse