paper

Conformal classes of asymptotically flat, static vacuum data

arXiv:0711.4513 · doi:10.1088/0264-9381/25/6/065012

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.

23 pages

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Conformal classes of asymptotically flat, static vacuum data · wovepaper