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Journal Article

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

MPS-Authors

Ehlers,  Jürgen
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Ehlers, J., & Rudolph, E. (1977). Dynamics of extended bodies in general relativity center-of-mass description and quasirigidity. General Relativity and Gravitation, 8(3), 197-217. doi:10.1007/BF00763547.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-5EBF-5
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.