Geodesic deviation and Minkowski space
type: Item
instance of: scholarly article
title: Geodesic deviation and Minkowski space
zbMATH Open document ID: 0713.53013
DOI: 10.1007/BF00757812
published in: General Relativity and Gravitation
publication date: 1990-01-01T00:00:00Z
review text: The authors show how given any one complex solution of the geodesic deviation equation for null geodesics in four dimensional space-times it is possible to write the general solution of the deviation equations as quadratures over the given solution. They then show that the solution space of the optical equations defines a three-dimensional manifold which naturally possesses a Lorentzian conformal metric. Finally they consider various ramifications of their results including an abstract formulation of the conformal three-space.
reviewed by: Chandra Shekhar Sharma
Mathematics Subject Classification ID: 53B30
Mathematics Subject Classification ID: 53C22
Mathematics Subject Classification ID: 83C20
zbMATH DE Number: 4173804
zbMATH Keywords: conformal metric
zbMATH Keywords: Minkowski space
zbMATH Keywords: geodesic deviation
author: Daniel E. Barraco
author: Carlos N. Kozameh
author: Ezra T. Newman
author: K. P. Tod
MaRDI profile type: Publication
cites work: Q3719405
cites work: Conformal geodesics in general relativity
cites work: Q3241635
cites work: Theory of conformal connections
description: scientific article; zbMATH DE number 4173804