Gravitational Radiation from a Naked Singularity Odd-Parity Perturbation

It has been suggested that a naked singularity is a good candidate for a strong gravita-tional wave burster. A naked singularity occurs in the generic collapse of an inhomogeneous dust ball. We study the odd-parity mode of gravitational waves from a naked singularity of the Lemâıtre-Tolman-Bondi spacetime. The wave equation for gravitational waves is solved by numerical integration using the single null coordinate. It is found that the naked singu-larity is not a strong source of the odd-parity gravitational radiation, although the metric perturbation grows in the central region. Therefore, the Cauchy horizon in this spacetime should be marginally stable with respect to odd-parity perturbations. The study involved in the attempt to detect gravitational waves represents one of the most exciting field in modern physics. The detection will provide a deci-sive test of general relativity and open a new window for astrophysical observation. Unfortunately, in spite of a great deal of effort, no one has yet succeeded in th