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  One-parameter families of conformally related asymptotically flat, static vacuum data

Friedrich, H. (2008). One-parameter families of conformally related asymptotically flat, static vacuum data. Classical and Quantum Gravity, 25(13): 135012. doi:10.1088/0264-9381/25/13/135012.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-6419-4 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-641B-F
Genre: Journal Article

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 Creators:
Friedrich, Helmut1, 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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 Abstract: Extending the results of Friedrich (2008 Class. Quantum Grav. 25 065012) we give a complete description of the asymptotically flat, conformally non-flat, static vacuum data which admit non-trivial, asymptotically smooth conformal mappings onto other such data. These data form a 3-parameter family which decomposes into 1-parameter families of data which are conformal to each other. The data and the associated static vacuum solutions are given explicitly in terms of elliptic and, in a special case, elementary functions.

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 Dates: 2008-07
 Publication Status: Published in print
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 Identifiers: DOI: 10.1088/0264-9381/25/13/135012
eDoc: 373729
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 25 (13) Sequence Number: 135012 Start / End Page: - Identifier: ISSN: 0264-9381