On the initial-value problem of the Maxwell-Lorentz equations.

Perlick, Volker and Carr, Anthony (2010) On the initial-value problem of the Maxwell-Lorentz equations. Journal of Physics -London- a Mathematical and General, 43 (44). p. 445502. ISSN 0305-4470

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Abstract

We consider the Maxwell-Lorentz equations, i.e., the equation of motion of a charged dust coupled to Maxwell's equations, on an arbitrary general-relativistic spacetime. We decompose this system of equations into evolution equations and constraints, and we demonstrate that the evolution equations are strongly hyperbolic. This result guarantees that the initial-value problem of the Maxwell- Lorentz equations is well-posed. We illustrate this general result with a discussion of spherically symmetric solutions on Minkowski spacetime.

Item Type: Journal Article
Journal or Publication Title: Journal of Physics -London- a Mathematical and General
Uncontrolled Keywords: /dk/atira/pure/researchoutput/libraryofcongress/qc
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 34369
Deposited By: Dr Volker Perlick
Deposited On: 11 Oct 2010 08:37
Refereed?: Yes
Published?: Published
Last Modified: 19 Sep 2019 23:49
URI: https://eprints.lancs.ac.uk/id/eprint/34369

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