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arXiv · 0803.1052

Families of conformally related asymptotically flat, static vacuum data

Helmut Friedrich
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Abstract

Extending the results of an earlier article 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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Helmut Friedrich. 2008-03-07. Families of conformally related asymptotically flat, static vacuum data. https://doi.org/10.1088/0264-9381%2F25%2F13%2F135012

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