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Models of light–like charges with non–geodesic world lines

Boehmer, C; Hogan, P; (2019) Models of light–like charges with non–geodesic world lines. Physical Review D , 100 (4) , Article 044021. 10.1103/PhysRevD.100.044021. Green open access

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Abstract

Massless particles in General Relativity move with the speed of light, their trajectories in spacetime are described by null geodesics. This is independent of the electrical charge of the particle being considered, however, the charged light--like case is less well understood. Starting with the Maxwell field of a charged particle having a light--like geodesic world line in Minkowskian space--time we construct the Maxwell field of such a particle having a non--geodesic, light--like world line. The necessary geometry in the neighbourhood of an arbitrary null world line in Minkowskian space--time is described and properties of the resulting electromagnetic field are discussed. The electromagnetic field obtained represents a light--like analogue of the Lienard--Wiechert field, which generalises the Coulomb field of a charge having a time--like geodesic world line to the field of a charge having an accelerated world line.

Type: Article
Title: Models of light–like charges with non–geodesic world lines
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevD.100.044021
Publisher version: https://doi.org/10.1103/PhysRevD.100.044021
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: General relativity, Geometry
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: http://discovery.ucl.ac.uk/id/eprint/10079520
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