Conformal Classes of Asymptotically Flat, Static Vacuum Data
نویسنده
چکیده
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. PACS: 04.20.Ex, 04.20.Ha, 04.20.Jb
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ar X iv : 0 71 1 . 45 13 v 1 [ gr - q c ] 2 8 N ov 2 00 7 Conformal classes of asymptotically flat , static vacuum data
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. PACS: 04.20.Ex, 04.20.Ha, 04.20.Jb
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