Extremal Charged Black Holes with a Twisted Extra Dimension

Details Extremal Charged Black Holes with a Twisted Extra Dimension Extremal Charged Black Holes with a Twisted Extra Dimension

2011-10-31

arxiv.org/abs/1110.6731v2

PhysRevD.85:044006,2012

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, no figure, v2 added references

Scientific paper

10.1103/PhysRevD.85.044006

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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