8 citations · 35 across the 20 of their papers we have counts for
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gr-qc2015
Relativistic top in the Ostrohrads'kyj dynamics
Roman Matsyuk
A variational equation of the fourth order for the free relativistic top is developed starting from the Dixon's system of equations for the motion of the relativistic dipole. The o…
gr-qc2014★ 3 cited
Variational generalization of free relativistic top
Roman Matsyuk
We prove that well known first-order (in spin, momentum, and space-time coordinates) equations of motion of relativistic top are equivalent to the third-order equations of Mathisso…
gr-qc2012★ 1 cited
A covering second-order Lagrangian for the relativistic top without forces
Roman Matsyuk
A parameter-invariant variational problem with a manifestly covariant Lagrangian function of second order is considered, which covers the case of the free relativistic top at const…