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A note on the nonexistence of generalized apparent horizons in Minkowski space

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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.

Original languageEnglish
Article number078001
JournalClassical and Quantum Gravity
Volume26
Issue number7
DOIs
StatePublished - 2009

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