%0 Journal Article
%A Guerrero Román, Mercedes
%A Olmo, Gonzalo J.
%A Rubiera García, Diego
%T Geodesic completeness of effective null geodesics in regular space-times with non-linear electrodynamics
%D 2023
%@ 1434-6044
%U https://hdl.handle.net/20.500.14352/103108
%X 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.
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