# A Holographic Argument for the Penrose Inequality in AdS

## TL;DR

This paper presents a holographic argument supporting the AdS Penrose inequality, linking apparent horizon areas and total mass, and extends the argument to charged solutions, providing insights into cosmic censorship.

## Contribution

It introduces a holographic proof for the AdS Penrose inequality and extends it to charged black hole solutions, connecting horizon areas with mass bounds.

## Key findings

- Holographic argument supports the AdS Penrose inequality
- Connection established between apparent horizon area law and the inequality
- Extension of the inequality to charged solutions in AdS

## Abstract

We give a holographic argument in favor of the AdS Penrose inequality, which conjectures a lower bound on the total mass in terms of the area of apparent horizons. This inequality is often viewed as a test of cosmic censorship. We further find a connection between the area law for apparent horizons and the Penrose inequality. Finally, we show that the argument also applies to solutions with charge, resulting in a charged Penrose inequality in AdS.