Multipole particle in relativity

Akira Ohashi
Phys. Rev. D 68, 044009 – Published 8 August 2003
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Abstract

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.

  • Received 31 March 2003

DOI:https://doi.org/10.1103/PhysRevD.68.044009

©2003 American Physical Society

Authors & Affiliations

Akira Ohashi*

  • Department of Physics, Ochanomizu University, 2-1-1, Otsuka, Bunkyo, Tokyo, 112-8610, Japan

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

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Vol. 68, Iss. 4 — 15 August 2003

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