Multipole particle in relativity

Details Multipole particle in relativity Multipole particle in relativity

2003-06-16

arxiv.org/abs/gr-qc/0306062v1

Phys.Rev. D68 (2003) 044009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, 2 figures. Accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.68.044009

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 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.

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