The Ernst equation and ergosurfaces

Chrusciel, Piotr T.; Greuel, G.M.; Meinel, Reinhard; Szybka, S.

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The Ernst equation and ergosurfaces

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Chrusciel, Piotr T.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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cqg6_13_007.pdf
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0603041.pdf
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Citation

Chrusciel, P. T., Greuel, G., Meinel, R., & Szybka, S. (2006). The Ernst equation and ergosurfaces. Classical and Quantum Gravity, 23, 4399-4414.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4BD2-A

Abstract

We show that analytic solutions $\mcE$ of the Ernst equation with non-empty zero-level-set of $\Re \mcE$ lead to smooth ergosurfaces in space-time. In fact, the space-time metric is smooth near a "Ernst ergosurface" $E_f$ if and only if $\mcE$ is smooth near $E_f$ and does not have zeros of infinite order there.