Relativistic mechanics, cosymplectic manifolds and symmetries

Authors

  • Gianni Manno
  • Raffaele Vitolo

DOI:

https://doi.org/10.1285/i15900932v23n2p157

Keywords:

Einstein general relativity, Particle mechanics, Jets of submanifolds, Non-linear connections, Cosymplectic forms

Abstract

We consider the formulation by Jany\vska and Modugno of the phase space of relativistic mechanics in the framework of jets of 1-dimensional time-like submanifolds. Here,the gravitational and electromagnetic structures are encoded in a cosymplectic form.We derive the equation of motion of one relativistic particle in this framework,and prove that the Lagrangian of our model is non-degenerate. This makes the phase space a universal primary constraint. Finally, we show as all symmetries of the equation of motion (including higher or generalized symmetries) can be interpreted as distinguished vector fields on the phase space.

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Published

31-12-2004

Issue

Volume 23, Issue 2 (2004)

Section

Articoli

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