# Seeing relativity -- II. Revisiting and visualizing the Reissner-Nordstr\"om metric

## TL;DR

This paper explores the Reissner-Nordström metric through analytic and visual methods, including ray tracing and geodesic analysis, highlighting differences from Schwarzschild, naked singularities, and wormhole structures.

## Contribution

It provides detailed visualizations and analysis of null geodesics in the Reissner-Nordström spacetime, including naked singularities and wormhole crossings, enhancing understanding of these features.

## Key findings

- Dark shell appearance near naked singularities
- Differences from Schwarzschild metric in visualizations
- Visualization of wormhole crossing scenarios

## Abstract

In this paper we study some features of the Reissner-Nordstr\"om metric both from an analytic and a visual point of view. We perform an accurate ray tracing and study of null geodesics in various situations. Among the issues we focus on are (i) the comparison with the Schwarzschild case, (ii) the naked singularity case, where, if the electric charge is not too large, some dark shell appears on images despite there is no horizon in the metric, and (iii) the wormhole crossing case, i.e., a visual exploration of the maximal analytic extension of the metric.