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Penrose Inequality for Gravitational Waves

Janusz Karkowski, Piotr Koc, Zdobyslaw Swierczynski

gr-qcarXiv:gr-qc/9312003

Abstract

We investigate axially symmetric asymptotically flat vacuum self-gravitating system. A class of initial data with apparent horizon was numerically constructed. The examined solutions satisfy the Penrose inequality. The prior analysis of a massive system and the present results suggest that either massive or sourcefree configurations fulfill the Penrose inequality.

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