Higher-dimensional Einstein gravity
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Under influence from the string theory juggernaut, much attention has been paid recently to generalizing to higher dimensions various results concerning the well established theory of standard four-dimensional Einstein gravity (that is, general relativity). At present, this work can probably be most fairly described as well-motivated and extended theoretical speculation. Currently it apparently has no direct observational and experimental support, in contrast to four dimensional general relativity.
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 S^1 x S^2. This is in constract to other known black hole solutions in five dimensions which have horizon topology S^3. The existence of black ring solutions proves that the black hole uniqueness theorems valid in four dimensions do not hold in five.
See also black string
See also
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