A Penrose-Like Inequality for General Initial Data Sets

Details A Penrose-Like Inequality for General Initial Data Sets A Penrose-Like Inequality for General Initial Data Sets

2009-10-27

arxiv.org/abs/0910.5039v1

Commun. Math. Phys.290:779-788,2009

Mathematics

Differential Geometry

Scientific paper

10.1007/s00220-009-0830-4

We establish a Penrose-Like Inequality for general (not necessarily time
symmetric) initial data sets of the Einstein equations which satisfy the
dominant energy condition. More precisely, it is shown that the ADM energy is
bounded below by an expression which is proportional to the square root of the
area of the outermost future (or past) apparent horizon.

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