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  Conformal extensions for stationary spacetimes

Acena, A. E., & Kroon, J. A. V. (2011). Conformal extensions for stationary spacetimes. Classical and quantum gravity, 28(22): 225023. doi:10.1088/0264-9381/28/22/225023.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-013F-D Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-0140-7
Genre: Journal Article

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1103.0387 (Preprint), 395KB
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 Creators:
Acena, Andres E.1, Author              
Kroon, Juan A. Valiente, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: The construction of the cylinder at spatial infinity for stationary spacetimes is considered. Using a specific conformal gauge and frame, it is shown that the tensorial fields associated to the conformal Einstein field equations admit expansions in a neighbourhood of the cylinder at spatial infinity which are analytic with respect to some suitable time, radial and angular coordinates. It is then shown that the essentials of the construction are independent of the choice of conformal gauge. As a consequence, one finds that the construction of the cylinder at spatial infinity and the regular finite initial value problem for stationary initial data sets are, in a precise sense, as regular as they could be.

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 Dates: 2011-03-022011
 Publication Status: Published in print
 Pages: 34 pages, no figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1103.0387
DOI: 10.1088/0264-9381/28/22/225023
 Degree: -

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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 28 (22) Sequence Number: 225023 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/954925513480_1