Penrose Inequality for Asymptotically AdS Spaces

TL;DR

This paper proposes a generalized Penrose inequality for asymptotically locally Anti-de Sitter (AdS) spaces, which could have implications for cosmic censorship and the understanding of gravitational entropy in such backgrounds.

Contribution

It introduces a new form of the Penrose inequality tailored for asymptotically AdS spaces, extending previous formulations to a broader class of spacetimes.

Findings

Proposes a generalized Penrose inequality for asymptotically AdS spaces

Links inequality violation to potential naked singularity formation

Provides a theoretical framework for cosmic censorship in AdS backgrounds

Abstract

In general relativity, the Penrose inequality relates the mass and the entropy associated with a gravitational background. If the inequality is violated by an initial Cauchy data, it suggests a creation of a naked singularity, thus providing means to consider the cosmic censorship hypothesis. We propose a general form of Penrose inequality for asymptotically locally AdS spaces.