Conformal classes of asymptotically flat, static vacuum data
General Relativity and Quantum Cosmology
2008-11-26 v2
Abstract
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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Cite
@article{arxiv.0711.4513,
title = {Conformal classes of asymptotically flat, static vacuum data},
author = {Helmut Friedrich},
journal= {arXiv preprint arXiv:0711.4513},
year = {2008}
}
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23 pages