Conformal classes of asymptotically flat, static vacuum data

Friedrich, Helmut

doi:10.1088/0264-9381/25/6/065012

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Conformal classes of 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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0711.4513v2.pdf
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Citation

Friedrich, H. (2008). Conformal classes of asymptotically flat, static vacuum data. Classical and Quantum Gravity, 25(6): 065012. doi:10.1088/0264-9381/25/6/065012.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-62D4-3

Abstract

We show that time-reflection symmetric, symptotically 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.