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arXiv · 0708.1169

On the Ernst electro-vacuum equations and ergosurfaces

Piotr T. Chruściel·Sebastian J. Szybka
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Abstract

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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Piotr T. Chruściel, Sebastian J. Szybka. 2007-11-10. On the Ernst electro-vacuum equations and ergosurfaces. https://arxiv.org/abs/0708.1169

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