SO(n + 1) Symmetric Solutions of the Einstein Equations in Higher Dimensions
arXiv:0811.3534 · doi:10.1088/0264-9381/25/17/175002
Abstract
A method of solving the Einstein equations with a scalar field is presented. It is applied to find higher dimensional vacuum metrics invariant under the group SO(n + 1) acting on n-dimensional spheres.
11 pages
References in corpus (6)
- Classification of the Weyl Tensor in Higher Dimensions and Applications
- Type D Einstein spacetimes in higher dimensions
- Higher dimensional VSI spacetimes
- Robinson-Trautman spacetimes with an electromagnetic field in higher dimensions
- Exterior spacetime for stellar models in 5-dimensional Kaluza-Klein gravity
- Static Ricci-flat 5-manifolds admitting the 2-sphere