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MOTION OF A VECTOR PARTICLE IN A CURVED SPACETIME I: LAGRANGIAN APPROACH

Z. Ya. TurakulovInter-University Centre for Astronomy and Astrophysics, Post Bag 4, Ganeshkhind, Pune 411007, IndiaMargarita SafonovaDepartment of Physics and Astrophysics, University of Delhi, New Delhi 7, India
2003en
ABI

Abstract

The equations of motion for a particle with spin are derived from a simple Lagrangian. The spin is shown to be conserved on the particle's worldline. In the absence of a spin the equation coincides with that of a geodesic. The equations of motion are valid for massless particles as well, since mass does not enter the equations explicitly.

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