Maximizing curves for the charged-particle action in globally hyperbolic spacetimes

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dc.creatorMinguzzi, E.
dc.date2004-12-15
dc.date.accessioned2026-07-07T03:29:16Z
dc.date.available2026-07-07T03:29:16Z
dc.descriptionIn a globally hyperbolic spacetime any pair of chronologically related events admits a connecting geodesic. We present two theorems which prove that, more generally, under weak assumptions, given a charge-to-mass ratio there is always a connecting solution of the Lorentz force equation having that ratio. A geometrical interpretation of the charged-particle action is given which shows that the constructed solutions are maximizing.
dc.description16 pages, 6 figures, contribution to the proceedings of the "9th International conference on differential geometry and its applications" Prague, August 30 - September 3, 2004
dc.identifierhttps://arxiv.org/abs/gr-qc/0412074
dc.identifierhttp://arxiv.org/abs/gr-qc/0412074
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/35149
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleMaximizing curves for the charged-particle action in globally hyperbolic spacetimes
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