Conformal classes of asymptotically flat, static vacuum data

Details Conformal classes of asymptotically flat, static vacuum data Conformal classes of asymptotically flat, static vacuum data

2007-11-28

arxiv.org/abs/0711.4513v2

Class.Quant.Grav.25:065012,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages

Scientific paper

10.1088/0264-9381/25/6/065012

We show that time-reflection symmetric, asymptotically flat, static vacuum
data which admit a non-trivial conformal rescaling which leads again to such
data must be axi-symmetric and admit a conformal Killing field. Moreover, it is
shown that there exists a 3-parameter family of such data.

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