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Annales Henri Poincaré

, Volume 8, Issue 5, pp 817–884 | Cite as

Static Vacuum Solutions from Convergent Null Data Expansions at Space-Like Infinity

  • Helmut FriedrichEmail author
Article

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

Holomorphic Function Null Geodesic Formal Expansion Multipole Moment Normal Frame 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2007

Authors and Affiliations

  1. 1.Max-Planck-Institut für GravitationsphysikGolmGermany

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