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arXiv · 1804.08592

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

Jonatan Herrera·Miguel Ángel Javaloyes
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Abstract

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.

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Jonatan Herrera, Miguel Ángel Javaloyes. 2019-05-13. Stationary-Complete Spacetimes with non-standard splittings and pre-Randers metrics. https://arxiv.org/abs/1804.08592

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