A PenroseLike Inequality for General Initial Data Sets
Abstract
We establish a PenroseLike 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.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 September 2009
 DOI:
 10.1007/s0022000908304
 arXiv:
 arXiv:0910.5039
 Bibcode:
 2009CMaPh.290..779K
 Keywords:

 Mathematics  Differential Geometry;
 General Relativity and Quantum Cosmology;
 Mathematical Physics
 EPrint:
 Erratum added on last page: Commun. Math. Phys., 317 (2013), 267