The Penrose inequality in spherical symmetry with charge and in Gauss-Bonnet gravity

TL;DR

This paper proves the Penrose inequality in spherical symmetry for charged spacetimes with a cosmological constant and extends the result to Gauss-Bonnet gravity, advancing understanding of gravitational inequalities in various theories.

Contribution

The paper establishes the Penrose inequality in spherical symmetry with charge and cosmological constant, and extends it to Gauss-Bonnet gravity, from an initial data perspective.

Findings

Proved the Penrose inequality in charged, cosmological spacetimes with spherical symmetry.

Extended the inequality to Gauss-Bonnet gravity.

Validated the inequality in higher-dimensional spacetimes.

Abstract

We establish the spacetime Penrose inequality in spherical symmetry in spacetime dimensions $n+1\geq3$ with charge and cosmological constant from the initial data perspective. We also show that this result extends to the Gauss-Bonnet theory of gravity.