The Penrose inequality for nonmaximal perturbations of the Schwarzschild initial data

TL;DR

This paper demonstrates that the Penrose inequality holds for certain nonmaximal, axially symmetric perturbations of Schwarzschild initial data, where the horizon is characterized by a marginally outer trapped surface that need not be minimal.

Contribution

It establishes the validity of the Penrose inequality for a new class of nonmaximal perturbations of Schwarzschild data, expanding previous results.

Findings

Penrose inequality holds for specific nonmaximal perturbations

Horizon characterized by a marginally outer trapped surface

No requirement for the trapped surface to be minimal

Abstract

We show that the Penrose inequality is satisfied for a class of conformally flat axially symmetric nonmaximal perturbations of the Schwarzschild data. A role of horizon is played by a marginally outer trapped surface which does not have to be minimal.