# A thin dust shell falling to a Reissner-Nordstrom black hole as seen by a freely falling observer

## TL;DR

This paper analyzes how a freely falling observer perceives a thin dust shell falling into a Reissner-Nordstrom black hole, resolving paradoxes with analytical and numerical methods, and visualizing effects through videos.

## Contribution

It provides an analytical and numerical framework to study and visualize the perception of falling matter near a charged black hole, addressing common paradoxes.

## Key findings

- Resolved paradoxes related to falling matter observation
- Developed a numerical code for effect calculations
- Produced visualizations of phenomena above and below the horizon

## Abstract

We study the observation of a thin dust shell, radially freely falling to a Reissner-Nordstrom black hole, by an observer who is also freely and radially falling into this black hole. Considered and resolved are several common paradoxes and fallacies peculiar for such problems. The results of this analytical study are written as a numerical code that allows for calculating all related effects of this model. The numerical result have been presented in a few synthesized videos, making a colorful, quantitative and detailed description of the occurring astrophysical phenomena, both above and below the horizon.