General Relativity and Gravitation

, Volume 8, Issue 3, pp 197–217

Dynamics of extended bodies in general relativity center-of-mass description and quasirigidity

  • Jürgen Ehlers
  • Ekkart Rudolph
Research Articles

DOI: 10.1007/BF00763547

Cite this article as:
Ehlers, J. & Rudolph, E. Gen Relat Gravit (1977) 8: 197. doi:10.1007/BF00763547

Abstract

Dixon's approach to describe the dynamics of extended bodies in metric theories of gravity is elaborated. The exact, general relation between the center-of-mass 4-velocity and the 4-momentum is derived. Quasirigid bodies are defined, and their equations of motion are shown to be determinate for a given metric. Multipole approximations are considered, and the physical meaning of quasirigidity is investigated by establishing an approximate connection with continuum mechanics.

Copyright information

© Plenum Publishing Corporation 1977

Authors and Affiliations

  • Jürgen Ehlers
    • 1
  • Ekkart Rudolph
    • 1
  1. 1.Max-Planck-Institut für Physik und AstrophysikMünchen 40West Germany