Action principle formulation for the motion of extended bodies in general relativity
- 19 December 2003
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 68 (12) , 124014
- https://doi.org/10.1103/physrevd.68.124014
Abstract
We present an action principle formulation for the study of the motion of 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.Keywords
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This publication has 19 references indexed in Scilit:
- Equations of motion for spinning particles in external electromagnetic and gravitational fieldsPhysical Review D, 1993
- General-relativistic celestial mechanics. III. Rotational equations of motionPhysical Review D, 1993
- Relativistic dynamics of extended bodies and polarized media: An eccentric approachAnnals of Physics, 1980
- Spinning particles in general relativityPhysics Letters B, 1980
- Interference, gravity and gauge fieldsIl Nuovo Cimento A (1971-1996), 1979
- Observation of Gravitationally Induced Quantum InterferencePhysical Review Letters, 1975
- Experimental Test of Gravitationally Induced Quantum InterferencePhysical Review Letters, 1974
- Dynamics of extended bodies in general relativity III. Equations of motionPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1974
- Spinning test-particles in general relativity. IProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1951
- The Gravitational Equations and the Problem of MotionAnnals of Mathematics, 1938