Strong curvature naked singularities in non-self-similar gravitational collapse
type: Item
instance of: scholarly article
title: Strong curvature naked singularities in non-self-similar gravitational collapse
zbMATH Open document ID: 0749.53046
DOI: 10.1007/BF00756781
author: I. H. Dwivedi
author: Pankaj S. Joshi
published in: General Relativity and Gravitation
publication date: 1992-09-27T00:00:00Z
review text: The authors study Vaidya spacetimes with positive, monotonically increasing mass functions, which are zero in an open set but not broken- linear. These spacetimes contain naked singularities whose strengths are estimated. If the mass function is not \(C^ 1\) at the boundary of its support, then \(k^ 2\text{Ric}(\gamma'(k),\gamma'(k))\) is bounded away from zero for any future directed causal geodesic \(\gamma\) with affine parameter \(k\), which emerges from the singularity at \(k=0\). This result cannot hold if the mass function is \(C^ 1\). However, they present a rather general example for which the Kretchmann skalar \(R_{abcd}R^{abcd}\) diverges along those geodesics if the singularity is approached. They emphasize that their spacetimes need not be self- similar.
reviewed by: Marcus Kriele
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 53B30
Mathematics Subject Classification ID: 83C75
zbMATH DE Number: 57182
zbMATH Keywords: Vaidya-solution
zbMATH Keywords: spherical symmetry
zbMATH Keywords: dull dust
zbMATH Keywords: cosmic censorship hypothesis
zbMATH Keywords: naked singularities
zbMATH Keywords: gravitational collapse
zbMATH Keywords: strong curvature
zbMATH Keywords: space-time singularity
zbMATH Keywords: Vaidya spacetimes
zbMATH Keywords: Kretchmann skalar
MaRDI profile type: Publication
cites work: On the nature of naked singularities in Vaidya spacetimes
cites work: Q5720828
cites work: The Large Scale Structure of Space-Time
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description: scientific article; zbMATH DE number 57182