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

Published 23 March 2009 • 2009 IOP Publishing Ltd
, , Citation Marcus A Khuri 2009 Class. Quantum Grav. 26 078001 DOI 10.1088/0264-9381/26/7/078001

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1 Department of Mathematics, Stony Brook University, Stony Brook, NY 11794, USA

Dates

  1. Received 14 November 2008
  2. Published

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0264-9381/26/7/078001

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.

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10.1088/0264-9381/26/7/078001