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Phys. Rev. D 68, 044009 (2003) [10 pages]

Multipole particle in relativity

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Akira Ohashi*
Department of Physics, Ochanomizu University, 2-1-1, Otsuka, Bunkyo, Tokyo, 112-8610, Japan

Received 31 March 2003; published 8 August 2003

We discuss the motion of extended objects in a spacetime by considering a gravitational field created by these objects. We define multipole moments of the objects as a classification by the Lie group SO(3). Then, we construct an energy-momentum tensor for the objects and derive equations of motion from it. As a result, we reproduce the Papapetrou equations for a spinning particle. Furthermore, we will show that we can obtain more simple equations than the Papapetrou equations by changing the center-of-mass.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.68.044009
DOI:
10.1103/PhysRevD.68.044009
PACS:
04.25.-g

*Electronic address: ohashi@phys.ocha.ac.jp