Static vacuum solutions from convergent null data expansions at space-like infinity
General Relativity and Quantum Cosmology
2011-07-19 v1
Abstract
We study formal expansions of asymptotically flat solutions to the static vacuum field equations which are determined by minimal sets of freely specifyable data referred to as `null data'. These are given by sequences of symmetric trace free tensors at space-like infinity of increasing order. They are 1:1 related to the sequences of Geroch multipoles. Necessary and sufficient growth estimates on the null data are obtained for the formal expansions to be absolutely convergent. This provides a complete characterization of all asymptotically flat solutions to the static vacuum field equations.
Keywords
Cite
@article{arxiv.gr-qc/0606133,
title = {Static vacuum solutions from convergent null data expansions at space-like infinity},
author = {Helmut Friedrich},
journal= {arXiv preprint arXiv:gr-qc/0606133},
year = {2011}
}
Comments
65 pages