# On the Penrose inequality for general horizons.

@article{Malec2002OnTP,
title={On the Penrose inequality for general horizons.},
author={Edward J Malec and Marc Mars and Walter Simon},
journal={Physical review letters},
year={2002},
volume={88 12},
pages={
121102
}
}
• Published 8 January 2002
• Mathematics
• Physical review letters
For asymptotically flat initial data of Einstein's equations satisfying an energy condition, we show that the Penrose inequality holds between the Arnowitt-Deser-Misner mass and the area of an outermost apparent horizon, if the data are suitably restricted. We prove this by generalizing Geroch's proof of monotonicity of the Hawking mass under a smooth inverse mean curvature flow, for data with non-negative Ricci scalar. Unlike Geroch we need not confine ourselves to minimal surfaces as horizons…
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