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Even perturbations of the self-similar Vaidya space-time

Nolan, Brien C. orcid logoORCID: 0000-0002-9356-6833 and Waters, Thomas J. (2005) Even perturbations of the self-similar Vaidya space-time. Physical Review D, 71 (10). pp. 104030-1. ISSN 1550-7998

We study even parity metric and matter perturbations of all angular modes in self-similar Vaidya space-time. We focus on the case where the background contains a naked singularity. Initial conditions are imposed, describing a finite perturbation emerging from the portion of flat space-time preceding the matter-filled region of space-time. The most general perturbation satisfying the initial conditions is allowed to impinge upon the Cauchy horizon (CH), where the perturbation remains finite: There is no “blue-sheet” instability. However, when the perturbation evolves through the CH and onto the second future similarity horizon of the naked singularity, divergence necessarily occurs: This surface is found to be unstable. The analysis is based on the study of individual modes following a Mellin transform of the perturbation. We present an argument that the full perturbation remains finite after resummation of the (possibly infinite number of) modes.
Item Type:Article (Published)
Uncontrolled Keywords:general relativity; quantum cosmology;
DCU Faculties and Centres:DCU Faculties and Schools > Faculty of Science and Health > School of Mathematical Sciences
Publisher:The American Physical Society
Official URL:http://dx.doi.org/10.1103/PhysRevD.71.104030
Copyright Information:© 2005 The American Physical Society
Use License:This item is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 3.0 License. View License
Funders:Enterprise Ireland
ID Code:15643
Deposited On:10 Aug 2010 09:22 by DORAS Administrator . Last Modified 11 May 2021 11:14

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