Action principle formulation for motion of extended bodies in General Relativity

Preprint

6 October 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/0212130

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

ACTION PRINCIPLE FORMULATION
PRINCIPLE FORMULATION
MOTION OF EXTENDED
GENERAL RELATIVITY
BODIES IN GENERAL
EXTENDED BODY
GRAVITATIONAL
PHASE SHIFTS
MULTIPOLE

All Related Versions

Version 1, 2002-12-31, ArXiv
Version 2, 2003-01-18, ArXiv
Version 3, 2003-10-06, ArXiv
Published version: Physical Review D, 68 (12), 124014.

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