Action based approach to the dynamics of extended bodies in general relativity - INSPIRE

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Action based approach to the dynamics of extended bodies in general relativity

May, 2003

10 pages

Published in:

Int.J.Mod.Phys.D 12 (2003) 1651-1656

e-Print:

gr-qc/0305063 [gr-qc]

DOI:

10.1142/S0218271803003931

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Abstract: (arXiv)

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.

Note:

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

References(13)

Figures(0)

The Gravitational equations and the problem of motion

- Annals Math. 39 (1938) 65-100
•
DOI:
- 10.2307/1968714

- Acta Phys.Polon. 6 167

Spinning test particles in general relativity. 1.

Achille Papapetrou
(
- Manchester U.
)

- Proc.Roy.Soc.Lond.A 209 (1951) 248-258
•
DOI:
- 10.1098/rspa.1951.0200

- Ann.Inst.H.Poincare Phys.Theor. 11 221

Dynamics of extended bodies in general relativity III. Equations of motion

W.G. Dixon
(
- Cambridge U. (main)
)

- Phil.Trans.Roy.Soc.Lond.A 277 (1974) 1264, 59-119
•
DOI:
- 10.1098/rsta.1974.0046

Observation of gravitationally induced quantum interference

R. Colella
(
- Purdue U.
)
,
A.W. Overhauser
(
- Purdue U.
)
,
S.A. Werner
(
- Ford Motor Co., Dearborn
)

- Phys.Rev.Lett. 34 (1975) 1472-1474
•
DOI:
- 10.1103/PhysRevLett.34.1472

- J.Phys.B 32 R173

Optics and Interferometry with Na-2 Molecules

Michael S. Chapman
(
- MIT and
- Innsbruck U.
)
,
Christopher R. Ekstrom
(
- MIT and
- Innsbruck U.
)
,
Troy D. Hammond
(
- MIT and
- Innsbruck U.
)
,
Richard A. Rubenstein
(
- MIT and
- Innsbruck U.
)
,
Jorg Schmiedmayer
(
- MIT and
- Innsbruck U.
)

et al.

- Phys.Rev.Lett. 74 (1995) 4783-4786
•
DOI:
- 10.1103/PhysRevLett.74.4783

- Phys.Rev.Lett. 88 100404

- Phys.Rev.Lett. 83 3112

- Phys.Rev.Lett. 85 2040

Gravitational and Rotational Effects in Quantum Interference

J. Anandan
(
- Pittsburgh U.
)

- Phys.Rev.D 15 (1977) 1448-1457
•
DOI:
- 10.1103/PhysRevD.15.1448

Interference, Gravity and Gauge Fields

J. Anandan
(
- Maryland U. and
- Princeton, Inst. Advanced Study
)

- Nuovo Cim.A 53 (1979) 221
•
DOI:
- 10.1007/BF02776416