Completeness of inextensible electromagnetic trajectories in a stationary spacetime

JOURNAL OF GEOMETRY AND PHYSICS

卷:117

Article

de la Fuente, Daniel¹  Romero, Alfonso¹ 

[1] Univ Granada, Dept Geometria & Topol, E-18071 Granada, Spain

关键词: Lorentz force equation;    Kaluza-Klein theory;    Stationary spacetimes;    Completeness of inextensible trajectories;   

DOI  :  10.1016/j.geomphys.2017.03.009

来源: Elsevier

【 摘 要 】

A new technique is introduced to study the completeness of inextensible electromagnetic trajectories in an n(>= 2) -dimensional stationary spacetime. Sufficient conditions on an electromagnetic field on a stationary spacetime are imposed to ensure that the associated (n + 1) -dimensional Kaluza-Klein bundle spacetime is itself stationary. The problem is then reduced to the geodesic completeness of the corresponding kaluza-Klein bundle spacetime. Applications are given specially to the case of a standard static spacetime. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

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