On the Ernst electro-vacuum equations and ergosurfaces

Details On the Ernst electro-vacuum equations and ergosurfaces On the Ernst electro-vacuum equations and ergosurfaces

2007-08-09

arxiv.org/abs/0708.1169v2

ActaPhys.Polon.B39:59-74,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, no figures, minor changes

Scientific paper

The question of smoothness at the ergosurface of the space-time metric constructed out of solutions (E,phi) of the Ernst electro-vacuum equations is considered. We prove smoothness of those ergosurfaces at which Re(E) provides the dominant contribution to f=-(Re(E)+|phi|^2) at the zero-level-set of f. Some partial results are obtained in the remaining cases: in particular we give examples of leading-order solutions with singular isolated "ergocircles".

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