Nonexistence of Generalized Apparent Horizons in Minkowski Space

Details Nonexistence of Generalized Apparent Horizons in Minkowski Space Nonexistence of Generalized Apparent Horizons in Minkowski Space

2009-10-27

arxiv.org/abs/0910.5042v1

Class. Quantum Grav., 26 (2009), 078001

Mathematics

Differential Geometry

Scientific paper

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.

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