Odd-parity perturbations of self-similar Vaidya spacetime

Details Odd-parity perturbations of self-similar Vaidya spacetime Odd-parity perturbations of self-similar Vaidya spacetime

2006-08-08

arxiv.org/abs/gr-qc/0608040v1

Class.Quant.Grav. 24 (2007) 177-200

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages

Scientific paper

10.1088/0264-9381/24/1/010

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.

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