Abstract
We prove smoothness of the domain of outer communications (d.o.c.) of the Black Saturn solutions of Elvang and Figueras. We show that the metric on the d.o.c. extends smoothly across two disjoint event horizons with topology \( \mathbb{R} \times {S^3} \) and \( \mathbb{R} \times {S^1} \times {S^2} \). We establish stable causality of the d.o.c. when the Komar angular momentum of the spherical component of the horizon vanishes, and present numerical evidence for stable causality in general.
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PTC was supported in part by the EC project KRAGEOMP-MTKD-CT-2006-042360, by the Polish Ministry of Science and Higher Education grant Nr N N201 372736, and by the EPSRC Science and Innovation award to the Oxford Centre for Nonlinear PDE (EP/E035027/1).
SSz was supported in part by the Polish Ministry of Science and Higher Education grant Nr N N202 079235, and by the Foundation for Polish Science.
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Chruściel, P.T., Eckstein, M. & Szybka, S.J. On smoothness of black saturns. J. High Energ. Phys. 2010, 48 (2010). https://doi.org/10.1007/JHEP11(2010)048
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DOI: https://doi.org/10.1007/JHEP11(2010)048