General Relativity and Gravitation

, Volume 15, Issue 6, pp 523–533 | Cite as

On general relations in relativistic kinematics and some of their applications

  • Ilija Lukačević
Research Articles
  • 54 Downloads

Abstract

Two vector fields are considered, a timelike one,uα, and an arbitrary one, ξα. The relative expansion and rotation are defined with respect to these fields, their mutual relations are studied, and some general formulas obtained. Applications are made, first to vector fields which are mutually nonrotating in a plane-symmetric metric, then to the electromagnetic field of an arbitrary magnetohydrodynamic fluid.

Keywords

General Relation Vector Field Electromagnetic Field General Formula Differential Geometry 

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Copyright information

© Plenum Publishing Corporation 1983

Authors and Affiliations

  • Ilija Lukačević
    • 1
  1. 1.Department of Mathematics, Mechanics and Astronomy, Faculty of SciencesUniversity of BelgradeBeogradYugoslavia

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