Geodesic completeness of effective null geodesics in regular space-times with non-linear electrodynamics

Autor: Guerrero, Merce, Olmo, Gonzalo J., Rubiera-Garcia, Diego
Rok vydání: 2023
Předmět:
Zdroj: Eur.Phys.J.C 83 (2023) 9, 785
Druh dokumentu: Working Paper
DOI: 10.1140/epjc/s10052-023-11969-y
Popis: We study the completeness of light trajectories in certain spherically symmetric regular geometries found in Palatini theories of gravity threaded by non-linear (electromagnetic) fields, which makes their propagation to happen along geodesics of an effective metric. Two types of geodesic restoration mechanisms are employed: by pushing the focal point to infinite affine distance, thus unreachable in finite time by any sets of geodesics, or by the presence of a defocusing surface associated to the development of a wormhole throat. We discuss several examples of such geometries to conclude the completeness of all such effective paths. Our results are of interest both for the finding of singularity-free solutions and for the analysis of their optical appearances e.g. in shadow observations.
Comment: 7 pages, 4 figures
Databáze: arXiv
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