The Penrose inequality for nonmaximal perturbations of the Schwarzschild initial data

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.

11 pages

References in corpus (3)

• Trapped surfaces and the Penrose inequality in spherically symmetric geometries
• On the Penrose Inequality for general horizons
• Non-CMC Solutions to the Einstein Constraint Equations on Asymptotically Euclidean Manifolds with Apparent Horizon Boundaries

Cited by in corpus (5)

• Four types of attractive gravity probe surfaces
• Refined inequalities for loosely trapped surface/attractive gravity probe surface
• On extensions of the Penrose inequality with angular momentum
• New spinorial mass-quasilocal angular momentum inequality for initial data with marginally future trapped surface
• Asymptotically Hyperbolic Einstein Constraint Equations with Apparent Horizon Boundary and the Penrose Inequality for Perturbations of Schwarzschild-AdS