Autoparallel variational description of the free
relativistic top third-order dynamics.
(English) Zbl 1068.70022Kowalski, Oldřich (ed.) et al., Differential
geometry and its applications. Proceedings of the 8th
international conference, Opava, Czech Republic, August 27–31,
2001. Opava: Silesian University at Opava (ISBN
80-7248-166-5/hbk). Math. Publ. (Opava) 3, 447-459 (2001).
Summary: Starting from general requirements of invariance and
“variationality”, we suggest a second-order variational
description of autoparallel curves of some
differential-geometric connections for third-order Mathisson’s
“new mechanics” of a relativistic free spinning particle.
For the entire collection see [Zbl 1008.00021].
MSC:
| 70H40 |
Relativistic dynamics |
| 70G75 |
Variational methods for dynamical systems |