black hole spacetimes | vanishing angular momentum | positive angular momentum |
---|---|---|
vanishing charge | Schwarzschild spacetime | Kerr spacetime |
positive charge | Reissner-Nordstrom spacetime | Kerr-Newman spacetime |
An Einstein manifold is a (pseudo-)Riemannian manifold (a spacetime) such that the Ricci tensor is proportional to the metric tensor
by a proportionality constant .
Einstein manifolds are precisely the solutions of Einstein's equations for pure gravity with cosmological constant .
A manifold of dimension 7 and of weak G2-holonomy with weakness parameter – – is canonically an Einstein manifold with cosmological constant .
all quaternion-Kähler manifolds are Einstein manifolds see there
Last revised on March 21, 2019 at 13:27:37. See the history of this page for a list of all contributions to it.