The Einstein equations for gravity in dimension $\geq 5$ admit black hole solutions whose event horizon is not homeomorphic to an n-sphere, but has different topology. In particular in 5d-gravity and 5d supergravity there are solutions with topology $S^1 \times S^2$. These are called black rings.
Their KK-reduction down to 4 dimensions yields again ordinary black holes. This plays a central role in the discussion of black holes in string theory.
The first black ring solution in 5d gravity was found in
The first solution in D=5 supergravity was given in
For more see:
I. Bena, Per Kraus, Microscopic description of black rings in AdS/CFT JHEP 12 (2004) 070 (hep-th/0408186)
I. Bena, Per Kraus, Microstates of the D1-D5-KK system Phys. Rev. D72 (2005) 025007 (hep-th/0503053)
Alejandra Castro, Joshua L. Davis, Per Kraus, Finn Larsen, String Theory Effects on Five-Dimensional Black Hole Physics (arXiv:0801.1863)
Last revised on December 12, 2019 at 04:10:11. See the history of this page for a list of all contributions to it.