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

1999/11/30 by H. Iguchi, Hideo Iguchi, Tomohiro Harada +2 · 2 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #gr-qc

paper · pdf · doi:10.1143/ptp.103.53

published as Prog.Theor.Phys. 103 (2000) 53-72 · 16 pages, 5 figures, errors and typos corrected, final version

openalex publication_date 2000/01/01 · arxiv created 2000/02/04 · arxiv updated 2009/11/30 · openalex created_date 2020/11/23 · openalex updated_date 2026/07/28

Abstract

A naked singularity occurs in the generic collapse of an inhomogeneous dust ball. We study the even-parity mode of gravitational waves from a naked singularity of the Lemaître-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 the Cauchy horizon and diverges there, although the naked singularity is not a strong source of even-parity gravitational radiation. Therefore, the Cauchy horizon in this spacetime should be unstable with respect to linear even-parity perturbations.

Citations

• The singularities of gravitational collapse and cosmology
• The quasi-normal modes of the Schwarzschild black hole
• The occurrence of singularities in cosmology. ɪɪɪ. Causality and singularities

Cited by

• Physical interpretation of gauge invariant perturbations of spherically symmetric space-times
• Numerical Approaches to Spacetime Singularities