Massless spinning test particles in vacuum algebraically special spacetimes

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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Slightly modified version with respect to the published one [ International Journal of Modern Physics D, Vol. 15 pp. 737-758 (

Scientific paper

10.1142/S0218271806008498

The motion of massless spinning test particles is investigated using the Newman-Penrose formalism within the Mathisson-Papapetrou model extended to massless particles by Mashhoon and supplemented by the Pirani condition. When the "multipole reduction world line" lies along a principal null direction of an algebraically special vacuum spacetime, the equations of motion can be explicitly integrated. Examples are given for some familiar spacetimes of this type in the interest of shedding some light on the consequences of this model.

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