Built on

M. Mathisson, Acta Phys. Pol. 6,
1937
Earlier work this paper cites.
J. Weyssenhoff, A. Raabe, Acta Phys. Pol. 9,
1947
Earlier work this paper cites.

Similar

C. Moller, Ann. Inst. Henri Poincaré 11
1949
Cited alongside, same era.
W. G. Dixon, Il Nuovo Cimento, 38,
1965
Cited alongside, same era.
L. F. O. Costa, J. Natário, M. Zilhão, in preparation
Cited in the paper.

Then

S. E. Gralla, A. I. Harte, R. M. Wald, Phys. Rev. D 81,
Original
2010
Later among the works it cites.
L. F. Costa, C. Herdeiro, J. Natário, M. Zilhão, Phys. Rev. D 85
Original
2012
Closest in time.

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2012

Mathisson's helical motions demystified

Costa, L. Filipe O., Natário, José, Zilhão, Miguel

Understand

The motion of spinning test particles in general relativity is described by Mathisson-Papapetrou-Dixon equations, which are undetermined up to a spin supplementary condition, the latter being today still an open question.

The Mathisson-Pirani (MP) condition is known to lead to rather mysterious helical motions which have been deemed unphysical, and for this reason discarded.
We show that these assessments are unfounded and originate from a subtle (but crucial) misconception.
We discuss the kinematical explanation of the helical motions, and dynamically interpret them through the concept of hidden momentum, which has an electromagnetic analogue.