Area-charge inequality for black holes

TL;DR

This paper proves a fundamental inequality relating the area and charge of dynamical black holes without symmetry assumptions, including charged matter fields, and extends the inequality to broader spacetime regions.

Contribution

It establishes a new, general area-charge inequality for dynamical black holes without symmetry constraints and includes charged matter fields, extending previous results.

Findings

Proved the inequality A ≥ 4πQ² for dynamical black holes.

Extended the inequality to non-horizon regions in spacetime.

Included charged matter fields in the analysis.

Abstract

The inequality between area and charge $A\geq 4\pi Q^2$ for dynamical black holes is proved. No symmetry assumption is made and charged matter fields are included. Extensions of this inequality are also proved for regions in the spacetime which are not necessarily black hole boundaries.