Multipolar equations of motion for extended test bodies in General Relativity

Details Multipolar equations of motion for extended test bodies in General Relativity Multipolar equations of motion for extended test bodies in General Relativity

2009-09-21

arxiv.org/abs/0909.3756v2

Phys.Rev.D81:044019,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, RevTex format, published version

Scientific paper

10.1103/PhysRevD.81.044019

We derive the equations of motion of an extended test body in the context of Einstein's theory of gravitation. The equations of motion are obtained via a multipolar approximation method and are given up to the quadrupolar order. Special emphasis is put on the explicit construction of the so-called canonical form of the energy-momentum density. The set of gravitational multipolar moments and the corresponding equations of motion allow for a systematic comparison to competing multipolar approximation schemes.

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