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Journal Article

Multipolar equations of motion for extended test bodies in General Relativity

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Puetzfeld,  Dirk
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0909.3756v1.pdf
(Preprint), 245KB

PRD044019.pdf
(Any fulltext), 256KB

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Citation

Steinhoff, J., & Puetzfeld, D. (2010). Multipolar equations of motion for extended test bodies in General Relativity. Physical Review D., 81: 044019. doi:10.1103/PhysRevD.81.044019.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-60F0-2
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.