Exact Solutions
The higher-dimensional generalization of the Kerr metric was discovered by Myers and Perry. Like the Kerr metric, the Myers-Perry metric has spherical horizon topology. The construction involves making a Kerr-Schild ansatz; by a similar method, the solution has been generalized to include a cosmological constant. The black ring is a solution of five-dimensional general relativity. It inherits its name from the fact that its event horizon is topologically S1 × S2. This is in contrast to other known black hole solutions in five dimensions which have horizon topology S3.
Read more about this topic: Higher-dimensional Einstein Gravity
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