# Analytical studies on the hoop conjecture in charged curved spacetimes

## TL;DR

This paper provides an analytical proof supporting the Thorne hoop conjecture in the context of spatially regular static charged fluid spheres, complementing previous numerical validations.

## Contribution

It offers the first analytical demonstration of the hoop conjecture's validity in charged static fluid spacetimes, expanding theoretical understanding.

## Key findings

- Analytical proof confirms the hoop conjecture in charged fluid spheres.
- Supports previous numerical results by Hod.
- Enhances theoretical foundation of the hoop conjecture in charged spacetimes.

## Abstract

Recently, with numerical methods, Hod clarified the validity of Thorne hoop conjecture for spatially regular static charged fluid spheres, which were considered as counterexamples against the hoop conjecture. In this work, we provide an analytical proof on Thorne hoop conjecture in the spatially regular static charged fluid sphere spacetimes.