Odd-parity perturbations of self-similar Vaidya spacetime

Abstract

We carry out an analytic study of odd-parity perturbations of the self-similar Vaidya space-times that admit a naked singularity. It is found that an initially finite perturbation remains finite at the Cauchy horizon. This holds not only for the gauge invariant metric and matter perturbation, but also for all the gauge invariant perturbed Weyl curvature scalars, including the gravitational radiation scalars. In each case, `finiteness' refers to Sobolev norms of scalar quantities on naturally occurring spacelike hypersurfaces, as well as pointwise values of these quantities.

arXiv comment28 pages

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• Odd Parity Perturbations of the Self-Similar LTB Spacetime
• Cosmic Censorship for Self-Similar Spherical Dust Collapse
• Wave equations on the linear mass Vaidya metric
• Radiating solutions in Entangled Relativity
• Homothetic Killing horizons in generic Vaidya spacetimes
• Report on GRG18, Session A3, Mathematical Studies of the Field Equations