Dynamics of extended bodies in general relativity center-of-mass description and quasirigidity
- Cite this article as:
- Ehlers, J. & Rudolph, E. Gen Relat Gravit (1977) 8: 197. doi:10.1007/BF00763547
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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.