1110.6731 (Takamitsu Tatsuoka et al.)

Extremal Charged Black Holes with a Twisted Extra Dimension    [PDF]

Takamitsu Tatsuoka, Hideki Ishihara, Masashi Kimura, Ken Matsuno

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.

View original: http://arxiv.org/abs/1110.6731