Can Light Cross a Singularity? Exact Solutions from Analogue Gravity

TL;DR

This paper uses an analogue gravity model to find exact electromagnetic solutions in a spacetime with a naked singularity, revealing that electromagnetic energy can pass through the singularity without divergence.

Contribution

It provides the first exact solutions for electromagnetic fields in a spacetime with a naked singularity, demonstrating energy transmission across the singularity.

Findings

Electromagnetic solutions remain regular at the singularity.

Some solutions allow bounded power flux across the singularity.

Electromagnetic energy can be transmitted through the naked singularity.

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.