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arxiv: 0711.4513 · v2 · submitted 2007-11-28 · 🌀 gr-qc

Conformal classes of asymptotically flat, static vacuum data

classification 🌀 gr-qc
keywords dataconformaladmitasymptoticallyflatstaticvacuumaxi-symmetric
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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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