The motion of test bodies with microstructure in gauge gravity models
Abstract
We report on the explicit form of the equations of motion of poledipole particles for a very large class of gravitational theories. The nonRiemannian framework in which the equations are derived allows for a unified description of nearly all known gravitational theories. The propagation equations are obtained with the help of a multipole expansion method from the conservation laws that follow from Noether's theorem. The wellknown propagation equations of general relativity, e.g., as given by Mathisson and Papapetrou, represent a special case in our general framework. Our formalism allows for a direct identification of the couplings between the matter currents and the gravitational field strengths in gauge gravity models. In particular, it illustrates the need for matter with microstructure for the detection of nonRiemannian spacetime geometries.
 Publication:

arXiv eprints
 Pub Date:
 April 2009
 DOI:
 10.48550/arXiv.0904.0362
 arXiv:
 arXiv:0904.0362
 Bibcode:
 2009arXiv0904.0362P
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 6 pages, uses Acta Phys. Pol. LaTeX style