# Note on a thin-shell wormhole in extremal Reissner-Nordstr\"om geometry

## TL;DR

This paper demonstrates that the extremal Reissner-Nordström black hole horizon can be modeled as a stable, physically plausible thin-shell wormhole with zero exotic matter, supported by a perfect fluid at the throat.

## Contribution

It introduces a model of a thin-shell wormhole in extremal Reissner-Nordström geometry with zero total exotic matter and analyzes its stability.

## Key findings

- The horizon can serve as the throat of a thin-shell wormhole.
- The wormhole is stable against radial perturbations.
- It requires a perfect fluid at the throat to maintain stability.

## Abstract

We show that the cold horizon of the extremal Reissner-Nordstr\"{o}m can be considered as the throat of a thin-shell wormhole with zero total exotic matter and positive angular pressure. Such a wormhole is physical and stable against radial perturbations provided an appropriate perfect fluid exists at the throat.