Stationary-Complete Spacetimes with non-standard splittings and pre-Randers metrics

JOURNAL OF GEOMETRY AND PHYSICS

卷:163

Article

Herrera, Jonatan¹  Javaloyes, Miguel Angel² 

[1] Univ Cordoba, Dept Matemat, Edificio Albert Einstein,Campus Rabanales, Cordoba 14071, Spain

[2] Univ Murcia, Dept Matemat, Campus Espinardo, Murcia 30100, Spain

关键词: Stationary spacetimes;    Pre-Finsler metrics;    Causal structure;    Future horizons;    Magnetic geodesics;   

DOI  :  10.1016/j.geomphys.2021.104120

来源: Elsevier

【 摘 要 】

Using the relativistic Fermat's principle, we establish a bridge between stationary-complete manifolds which satisfy the observer-manifold condition and pre-Randers metrics, namely, Randers metrics without any restriction on the one-form. As a consequence, we give a description of the causal ladder of such spacetimes in terms of the elements associated with the pre-Randers metric: its geodesics and the associated distance. We obtain, as applications of this interplay, the description of conformal maps of Killing submersions, and existence and multiplicity results for geodesics of pre-Randers metrics and magnetic geodesics. (C) 2021 Elsevier B.V. All rights reserved.

【 授权许可】

Free