Can Light Cross a Singularity? Exact Solutions from Analogue Gravity

Abstract

Using a simple spacetime hosting a strong curvature naked singularity, we employ an analogue gravity model to study electromagnetic fields in this background. We find exact solutions to the full set of electrostatic and electrodynamic equations that remain regular even in the presence of the singularity. Moreover, certain solutions sustain a regular and bounded power flux across the singularity, suggesting that electromagnetic energy may be transmitted through it.

Proceedings contribution for the 2nd Workshop on Matter, Astrophysics, Gravitation, Ions and Cosmology (MAGIC 2025), held at the Argentine Scientific Society (Sociedad Científica Argentina), September 1-4, 2025. 7 pages, 6 figures. Version accepted for publication in Astronomische Nachrichten

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