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

Friedrich, Helmut

doi:10.1088/0264-9381/25/13/135012

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

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Friedrich, Helmut
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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cqg8_13_135012.pdf
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引用

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

引用: https://hdl.handle.net/11858/00-001M-0000-0013-6419-4

要旨

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.