On the existence of maximizing curves for the charged-particle action
| dc.creator | Minguzzi, E. | |
| dc.date | 2003-03-28 | |
| dc.date | 2003-03-30 | |
| dc.date.accessioned | 2026-07-07T06:21:49Z | |
| dc.date.available | 2026-07-07T06:21:49Z | |
| dc.description | The classical Avez-Seifert theorem is generalized to the case of the Lorentz force equation for charged test particles with fixed charge-to-mass ratio. Given two events x_{0} and x_{1}, with x_{1} in the chronological future of x_{0}, and a ratio q/m, it is proved that a timelike connecting solution of the Lorentz force equation exists provided there is no null connecting geodesic and the spacetime is globally hyperbolic. As a result, the theorem answers affirmatively to the existence of timelike connecting solutions for the particular case of Minkowski spacetime. Moreover, it is proved that there is at least one C^{1} connecting curve that maximizes the functional I[γ]=\int_γ ds+q/(mc^2) ωover the set of C^{1} future-directed non-spacelike connecting curves. | |
| dc.description | AMSLatex, 6 pages | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0303111 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0303111 | |
| dc.identifier | Class.Quant.Grav. 20 (2003) 4169-4175 | |
| dc.identifier | doi:10.1088/0264-9381/20/19/303 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95724 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | On the existence of maximizing curves for the charged-particle action | |
| dc.type | text |