Action principle formulation for motion of extended bodies in General Relativity

Details Action principle formulation for motion of extended bodies in General Relativity Action principle formulation for motion of extended bodies in General Relativity

2002-12-31

arxiv.org/abs/gr-qc/0212130v3

Phys.Rev.D68:124014,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revised version derives Octupole moment force. Some clarifications and a reference added. To appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.68.124014

We present an action principle formulation for the study of motion of an extended body in General Relativity in the limit of weak gravitational field. This gives the classical equations of motion for multipole moments of arbitrary order coupling to the gravitational field. In particular, a new force due to the octupole moment is obtained. The action also yields the gravitationally induced phase shifts in quantum interference experiments due to the coupling of all multipole moments.

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