Static vacuum solutions from convergent null data expansions at space-like infinity

Details Static vacuum solutions from convergent null data expansions at space-like infinity Static vacuum solutions from convergent null data expansions at space-like infinity

2006-06-30

arxiv.org/abs/gr-qc/0606133v1

Annales Henri Poincare 8:817-884,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

65 pages

Scientific paper

10.1007/s00023-006-0323-3

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.

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