We present an action principle formulation for the study of the motion or an extended body in general relativity in the limit of a 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. ©2003 The American Physical Society.
Publication Source (Journal or Book title)
Physical Review D
Anandan, J., Dadhich, N., & Singh, P. (2003). Action principle formulation for the motion of extended bodies in general relativity. Physical Review D, 68 (12) https://doi.org/10.1103/PhysRevD.68.124014