%0 Journal Article %T Asymptotically Flat Initial Data with Prescribed Regularity at Infinity %A Sergio Dain %A Helmut Friedrich %J Mathematics %D 2001 %I arXiv %R 10.1007/s002200100524 %X We prove the existence of a large class of asymptotically flat initial data with non-vanishing mass and angular momentum for which the metric and the extrinsic curvature have asymptotic expansions at space-like infinity in terms of powers of a radial coordinate. %U http://arxiv.org/abs/gr-qc/0102047v1