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arXiv · 1409.4314

Investigating spinning test particles: spin supplementary conditions and the Hamiltonian formalism

Georgios Lukes-Gerakopoulos·Jonathan Seyrich·Daniela Kunst
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Abstract

In this paper we report the results of a thorough numerical study of the motion of spinning particles in Kerr spacetime with different prescriptions. We first evaluate the Mathisson-Papapetrou equations with two different spin supplementary conditions, namely, the Tulczyjew and the Newton-Wigner, and make a comparison of these two cases. We then use the Hamiltonian formalism given by Barausse, Racine, and Buonanno in [Phys. Rev. D, 80, 104025 (2009)] to evolve the orbits and compare them with the corresponding orbits provided by the Mathisson-Papapetrou equations. We include a full description of how to treat the issues arising in the numerical implementation.

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Georgios Lukes-Gerakopoulos, Jonathan Seyrich, Daniela Kunst. 2014-11-04. Investigating spinning test particles: spin supplementary conditions and the Hamiltonian formalism. https://doi.org/10.1103/physrevd.90.104019

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