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arXiv · 1110.6731

Extremal Charged Black Holes with a Twisted Extra Dimension

Takamitsu Tatsuoka·Hideki Ishihara·Masashi Kimura·Ken Matsuno
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Abstract

We construct odd-dimensional extremal charged black hole solutions with a twisted S^1 as an extra dimension on generalized Euclidean Taub-NUT spaces. There exists a null hypersurface where an expansion for an outgoing null geodesic congruence vanishes, then these spacetimes look like black holes. We show that the metrics admit C^0 extension across the horizon, but some components of Riemann curvature diverge there if the dimension is higher than five. The singularity is not much strong so that an observer along a free-fall geodesic can traverse the horizon. We also show solutions with a positive cosmological constant.

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Takamitsu Tatsuoka, Hideki Ishihara, Masashi Kimura, Ken Matsuno. 2012-02-15. Extremal Charged Black Holes with a Twisted Extra Dimension. https://doi.org/10.1103/physrevd.85.044006

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