Families of conformally related asymptotically flat, static vacuum data

Details Families of conformally related asymptotically flat, static vacuum data Families of conformally related asymptotically flat, static vacuum data

2008-03-07

arxiv.org/abs/0803.1052v1

Class.Quant.Grav.25:135012,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages

Scientific paper

10.1088/0264-9381/25/13/135012

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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