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arXiv · 0909.3756

Multipolar equations of motion for extended test bodies in General Relativity

Jan Steinhoff·Dirk Puetzfeld
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Abstract

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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Jan Steinhoff, Dirk Puetzfeld. 2009-09-21. Multipolar equations of motion for extended test bodies in General Relativity. https://doi.org/10.1103/physrevd.81.044019

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