New Black Holes in Five Dimensions

Understand

We construct new stationary Ricci-flat metrics of cohomogeneity 2 in five dimensions, which generalise the Myers-Perry rotating black hole metrics by adding a further non-trivial parameter.

• We obtain them via a construction that is analogous to the construction by Plebanski and Demianski in four dimensions of the most general type D metrics.
• Limiting cases of the new metrics contain not only the general Myers-Perry black hole with independent angular momenta, but also the single rotation black ring of Emparan and Reall.
• In another limit, we obtain new static metrics that describe black holes whose horizons are distorted lens spaces L(n;m)= S^3/\Gamma(n;m), where m\ge n+2\ge 3.