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arXiv · 2408.05841

Causal ladder of Finsler spacetimes with a cone Killing vector field

Erasmo Caponio·Miguel Angel javaloyes
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Abstract

The correspondence between wind Riemannian structures and spacetimes endowed with a Killing vector field is deepened by considering a cone structure endowed with a vector field that preserve the structure (termed "cone Killing vector field") and a wind Finslerian structure. Causality properties of the former are characterized by using metric-type properties of the latter. A particular attention is posed to the case of a cone structure associated with a Finsler-Kropina type metric, i.e. a field of compact and strongly convex indicatrices that enclose the zero vector in the closure of its bounded interior at each tangent space of the manifold.

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Erasmo Caponio, Miguel Angel javaloyes. 2024-08-11. Causal ladder of Finsler spacetimes with a cone Killing vector field. https://doi.org/10.1007/978-3-031-99212-4_6

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