Penrose Inequality for Gravitational Waves

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.

5 pages, emTeX Version 3.0 [3a]. Submited to Class. and Quantum Grav

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