Action based approach to the dynamics of extended bodies in General Relativity

Details Action based approach to the dynamics of extended bodies in General Relativity Action based approach to the dynamics of extended bodies in General Relativity

2003-05-16

arxiv.org/abs/gr-qc/0305063v1

Int.J.Mod.Phys. D12 (2003) 1651-1656

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

This essay received an ``honorable mention'' in the 2003 Gravity Research Foundation essay competition

Scientific paper

10.1142/S0218271803003931

We present, for the first time, an action principle that gives the equations of motion of an extended body possessing multipole moments in an external gravitational field, in the weak field limit. From the action, the experimentally observable quantum phase shifts in the wavefunction of an extended object due to the coupling of its multipole moments with the gravitational field are obtained. Also, since the theory may be quantized using the action, the present approach is useful in the interface between general relativity and quantum mechanics.

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