2002/06/30 by Sergiu Vacaru, D. E. Goksel
Physics and Astronomy · Mathematics · #gr-qc #astro-ph #hep-th #math-ph #math.DG #math.MP
published as "Focus on Mathematical Physics, Research 2004", Ed. Charles V. Benton (Nova Science Publishers, NY, 2004), pp. 1-14 · 14 pages, latex2e, file modified for publication in "Progress in Mathematical Physics", Ed. Frank Columbus (Nova Science Publishers, NY, 2003)
arxiv created 2003/07/26 · arxiv updated 2009/11/30
The horizon and geodesic structure of static configurations generated by anisotropic conformal transforms of the Schwarzschild metric is analyzed. We construct the maximal analytic extension of such off--diagonal vacuum metrics and conclude that for small deformations there are different classes of vacuum solutions of the Einstein equations describing "black ellipsoid" objects. This is possible because, in general, for off--diagonal metrics with deformed non--spherical symmetries and associated anholonomic frames the conditions of the uniqueness black hole theorems do not hold.