Penrose-like inequality with angular momentum for minimal surfaces

Abstract

In axially symmetric spacetimes the Penrose inequality can be strengthened to include angular momentum. We prove a version of this inequality for minimal surfaces, more precisely, a lower bound for the ADM mass in terms of the area of a minimal surface, the angular momentum and a particular measure of the surface size. We consider axially symmetric and asymptotically flat initial data, and use the monotonicity of the Geroch quasi-local energy on 2-surfaces along the inverse mean curvature flow.

References in corpus (2)

• Extensions of the Charged Riemannian Penrose Inequality
• On the shape of bodies in General Relativistic regimes