Geodesics in Gödel-type space-times
type: Item
instance of: scholarly article
title: Geodesics in Gödel-type space-times
zbMATH Open document ID: 0716.53070
DOI: 10.1007/BF00755988
author: D. Kharzeev
published in: General Relativity and Gravitation
publication date: 1990-01-01T00:00:00Z
review text: The authors investigate the geodesics of the homogeneous Gödel-type space-times which constitute a 2-parameter class of solutions in General Relativity, Einstein-Cartan Theory and the higher derivatives theory of gravitation. The corresponding geometries are studied extensively. It is found that the following qualitative features of the free motion in the Gödel universe are preserved in all these space-times: (a) The projections of the geodesics onto the 2-surface (r,\(\phi\)) are simple closed curves with some exceptions for \(\ell^ 2\geq 4^ 2\). (b) The geodesics for which the ratio of azimuthal angular momentum to total energy is equal to zero, always cross the origin \(r=0\).
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 83F05
zbMATH DE Number: 4180283
zbMATH Keywords: geodesics
zbMATH Keywords: homogeneous Gödel-type space-times
reviewed by: V. B. Johri
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00755988
OpenAlex ID: W1973272424
description: scientific article; zbMATH DE number 4180283