Extensions of the Charged Riemannian Penrose Inequality

TL;DR

This paper explores the charged Riemannian Penrose inequality with charges outside the horizon, proving positive results for compact charges and providing counterexamples for infinite charges, along with discussions on other matter models.

Contribution

It extends the charged Riemannian Penrose inequality to cases with external charges, including new proofs and counterexamples.

Findings

Positive result for compactly supported charges

Counterexample for charges extending to infinity

Discussion on extensions to other matter models

Abstract

In this paper we investigate the extension of the charged Riemannian Penrose inequality to the case where charges are present outside the horizon. We prove a positive result when the charge densities are compactly supported, and present a counterexample when the charges extend to infinity. We also discuss additional extensions to other matter models.