Gravitational Radiation from a Naked Singularity II - Even-Parity Perturbation

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  • 18 November 1999
Abstract
The naked singularity occurs in the generic collapse of an inhomogeneous dust ball. We study even-parity mode of gravitational waves from a naked singularity of the Lema^{i}tre-Tolman-Bondi spacetime. The wave equations for gravitational waves are solved by numerical integration using the single null coordinate. The result implies that the metric perturbation grows when it approaches to the Cauchy horizon and diverges there although the naked singularity is not a strong source of the even-parity gravitational radiation. Therefore, the Cauchy horizon in this spacetime should be unstable against linear even-parity perturbations.

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