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

Feb 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005tmgm.meet.1895a&link_type=abstract

The Tenth Marcel Grossmann Meeting. Proceedings of the MG10 Meeting held at Brazilian Center for Research in Physics (CBPF), Rio

Physics

Scientific paper

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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