Nonexistence of Generalized Apparent Horizons in Minkowski Space

Abstract

We establish a Positive Mass Theorem for initial data sets of the Einstein equations having generalized trapped surface boundary. In particular we answer a question posed by R. Wald concerning the existence of generalized apparent horizons in Minkowski space.

Cited by in corpus (5)

• Present status of the Penrose inequality
• Trapped surfaces
• Existence, Regularity, and Properties of Generalized Apparent Horizons
• Minimizing properties of critical points of quasi-local energy
• A counter-example to a recent version of the Penrose conjecture