Summary
The equations of motion of a point particle in Riemannian space-time are given in spinor form. These equations generalize Gürsey’s classical spinor equations of motion in Minkowski space.
Riassunto
Si danno in forma spinoriale le equazioni di moto di una particella puntiforme nello spazio tempo di Riemann. Queste equazioni generalizzano le equazioni di moto spinoriali classiche di Gürsey nello spazio di Minkowski.
Резюме
В спинорной форме приводятся уравнения движения точечной частицы в римановом пространстве-времени. Эти уравнения являются обобщением классических спинорных уравнений Гюрсея движения в пространстве Минковского.
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References
D. Bohm, R. Schiller andJ. Tiomno:Suppl. Nuovo Cimento,1, 48, 65 (1955). For more recent results seeT. Takabayashi:Prog. Theor. Phys. Suppl.,33, 339 (1965).
F. Gürsey:Nuovo Cimento,5, 784 (1957). In this paperGürsey makes reference to earlier works in point mechanics byP. Weiss andA. Proca.
J. L. Synge:Proc. London Math. Soc.,43, 376 (1937).
F. Pirani:Brandeis Summer Lectures in Theoretical Physics, Vol.1 (1964).
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Kent, R.D., Szamosi, G. Spinor equations of motion in curved space-time. Nuov Cim B 64, 67–80 (1981). https://doi.org/10.1007/BF02721295
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DOI: https://doi.org/10.1007/BF02721295