Nongeneric null vectors
type: Item
instance of: scholarly article
title: Nongeneric null vectors
zbMATH Open document ID: 0783.53016
DOI: 10.1007/BF00759195
author: John K. Beem
author: Steven (Stacey) G. Harris
published in: General Relativity and Gravitation
publication date: 1994-03-13T00:00:00Z
review text: This is a sequel to [ibid., 939-962 (1993) see the preceding review] by the same authors. Here they are studying the genericity condition in general relativity for null vectors at a given point \(p\) of a Lorentz manifold. They show that at \(p\) the curvature tensor must be of the form \(R(X,Y)Z = c(g(Z,X)Y - g(Z,Y)X)\) if in the space of null vectors at \(p\) there exists an open set of non-generic null-vectors. In dimension 4 they can infer this form of the curvature tensor from the existence of 11 `generically situated' null vectors which are non-generic.
Mathematics Subject Classification ID: 53B30
Mathematics Subject Classification ID: 83C75
Mathematics Subject Classification ID: 15A99
zbMATH DE Number: 465602
zbMATH Keywords: genericity condition
zbMATH Keywords: null vectors
zbMATH Keywords: Lorentz manifold
zbMATH Keywords: curvature tensor
reviewed by: Marcus Kriele
MaRDI profile type: Publication
cites work: The generic condition is generic
cites work: Values of pseudoriemannian sectional curvature
cites work: Sectional curvature and tidal accelerations
cites work: Some remarks on sectional curvature and tidal accelerations
description: scientific article; zbMATH DE number 465602