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Gravitational Radiation from a Naked Singularity -- Odd-Parity Perturbation --

Hideo Iguchi·Tomohiro Harada·Ken-ichi Nakao
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Abstract

It has been suggested that a naked singularity may be a good candidate for a strong gravitational wave burster. The naked singularity occurs in the generic collapse of an inhomogeneous dust ball. We study odd-parity mode of gravitational waves from a naked singularity of the Lema\^ıtre-Tolman-Bondi space-time. The wave equation for gravitational waves are solved by numerical integration using the single null coordinate. The result is that the naked singularity 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 space-time would be marginally stable against odd-parity perturbations.

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Hideo Iguchi, Tomohiro Harada, Ken-ichi Nakao. 1999-06-09. Gravitational Radiation from a Naked Singularity -- Odd-Parity Perturbation --. https://doi.org/10.1143/ptp.101.1235

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