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  Convergent null data expansions at space-like infinity of stationary vacuum solutions

Acena, A. E. (2009). Convergent null data expansions at space-like infinity of stationary vacuum solutions. Annales Henri Poincare, 10(2), 275-337. doi:10.1007/s00023-009-0406-z.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0012-6409-E Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0012-640C-8
Genre: Journal Article

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 Creators:
Acena, Andres E.1, Author           
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: We present a characterization of the asymptotics of all asymptotically flat stationary vacuum solutions of Einstein's field equations. This characterization is given in terms of two sequences of symmetric trace free tensors (we call them the `null data'), which determine a formal expansion of the solution, and which are in a one to one correspondence to Hansen's multipoles. We obtain necessary and sufficient growth estimates on the null data to define an absolutely convergent series in a neighbourhood of spatial infinity. This provides a complete characterization of all asymptotically flat stationary vacuum solutions to the field equations.

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 Dates: 2008-10-232009
 Publication Status: Issued
 Pages: 71 pages, no figures
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 Rev. Type: -
 Identifiers: arXiv: 0810.4256
URI: http://arxiv.org/abs/0810.4256
DOI: 10.1007/s00023-009-0406-z
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Title: Annales Henri Poincare
Source Genre: Journal
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Publ. Info: Basel : Birkhäuser
Pages: - Volume / Issue: 10 (2) Sequence Number: - Start / End Page: 275 - 337 Identifier: Other: 954925494977
Other: 1424-0637