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

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

1999-04-26

arxiv.org/abs/gr-qc/9904064v2

Prog.Theor.Phys.101:1235-1252,1999

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 7 figures, to be published in Prog. Theor. Phys. Final version, with minor changes. Reference 13 added

Scientific paper

10.1143/PTP.101.1235

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\^{\i}tre-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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