Contents

# Contents

## Idea

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.

## References

The first black ring solution in 5d gravity was found in

The first solution in D=5 supergravity was given in

• Henriette Elvang, Roberto Emparan, David Mateos, Harvey Reall, Supersymmetric 4D Rotating Black Holes from 5D Black Rings, JHEP0508:042,2005 (arXiv:hep-th/0504125)

For more see:

Last revised on December 12, 2019 at 04:10:11. See the history of this page for a list of all contributions to it.