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


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.


General Relation Vector Field Electromagnetic Field General Formula Differential Geometry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Lukačević, I. (1975).Publ. Inst. Math. Belgrade,19(33), 101.Google Scholar
  2. 2.
    Lukačević, I. (1977).Publ. Inst. Math. Belgrade,22(36), 175.Google Scholar
  3. 3.
    Lichnerowicz, A. (1955).Théories relativistes de la gravitation et de l'électromagnétisme, Masson, Paris, pp. 59 and 37.Google Scholar
  4. 4.
    Smarr, L., and York, J. (1978).Phys. Rev. D,17(10), 2530.Google Scholar
  5. 5.
    Greenberg, Ph. (1970).J. Math. Anal. Appl.,30, 128.Google Scholar
  6. 6.
    Stachel, J. (1980).J. Math. Phys.,21(7), 1776.Google Scholar
  7. 7.
    Hawking, S., Ellis, G. F. R. (1973).The Large Scale Structure of Space-Time, Cambridge University Press, Cambridge, p. 58.Google Scholar
  8. 8.
    Yano, K. (1957).The Theory of Lie Derivatives, North-Holland, Amsterdam, p. 47.Google Scholar
  9. 9.
    Taub, A. H. (1972).General Relativity, papers in honor of J. L. Synge, Clarendon Press, Oxford, p. 133.Google Scholar
  10. 10.
    Lichnerowicz, A. (1971). CIME session 1970 (Relativistic Fluid Mechanics and MHD), Ed. Cremonese, p. 116.Google Scholar
  11. 11.
    Yodzis, P. (1971).Phys. Rev. D,3, 2491.Google Scholar

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

Personalised recommendations