An alternative way to derive the geodesic deviation equation for rapidly diverging geodesics
type: Item
instance of: scholarly article
zbMATH Open document ID: 0979.53042
author: Tanel Mullari
author: Risto Tammelo
publication date: 2002-02-24T00:00:00Z
Mathematics Subject Classification ID: 53C22
Mathematics Subject Classification ID: 53B20
zbMATH DE Number: 1590974
zbMATH Keywords: modified equation of geodesic deviation
zbMATH Keywords: geodesic deviation
zbMATH Keywords: rapidly diverging geodesics
MaRDI profile type: Publication
title: An alternative way to derive the geodesic deviation equation for rapidly diverging geodesics
published in: Acta et Commentationes Universitatis Tartuensis de Mathematica
review text: In 1926 T. Levi-Civita and J. L. Synge derived their celebrated equation of geodesic deviation under the assumption that the separation between the geodesics was small. Subsequently, \textit{D. E. Hodgkinson} [Gen. Relativ. Gravitation 3, 351-375 (1972; Zbl 0362.53013)] relaxed this condition to obtain a more general equation of geodesic deviation. In the present paper, the authors present a shorter and more transparent derivation of Hodgkinson's result. Contents include: an introduction; the derivation for rapidly diverging geodesics; and a discussion.
reviewed by: Joseph D. Zund
description: scientific article