Action principle formulation for motion of extended bodies in General Relativity
General Relativity and Quantum Cosmology
2011-07-19 v3 Astrophysics
High Energy Physics - Theory
Quantum Physics
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/0212130,
title = {Action principle formulation for motion of extended bodies in General Relativity},
author = {Jeeva Anandan and Naresh Dadhich and Parampreet Singh},
journal= {arXiv preprint arXiv:gr-qc/0212130},
year = {2011}
}
Comments
Revised version derives Octupole moment force. Some clarifications and a reference added. To appear in Phys. Rev. D