World-lines of classical particles, moving in an electromagnetic field can be obtained as projections, on the space-time M, of null geodesics in the one higher dimensional manifold M × R, endowed with a Kaluza-Klein metric. We use this fact to prove the existence of a world-line, connecting two chronologically related events on a globally hyperbolic space-time, for any particle whose charge-to-mass ratio is in a suitable neighborhood of 0 in R.
Null geodesics for Kaluza-Klein metrics and world-lines of charged particles / Caponio, Erasmo. - 8:(2004), pp. 69-75. (Intervento presentato al convegno II International Meeting on Lorentzian Geometry (Murcia 2003)).
Null geodesics for Kaluza-Klein metrics and world-lines of charged particles
CAPONIO, Erasmo
2004-01-01
Abstract
World-lines of classical particles, moving in an electromagnetic field can be obtained as projections, on the space-time M, of null geodesics in the one higher dimensional manifold M × R, endowed with a Kaluza-Klein metric. We use this fact to prove the existence of a world-line, connecting two chronologically related events on a globally hyperbolic space-time, for any particle whose charge-to-mass ratio is in a suitable neighborhood of 0 in R.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
