SO(n + 1) Symmetric Solutions of the Einstein Equations in Higher Dimensions

gr-qc

/ Authors

/ 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.

SO(n + 1) Symmetric Solutions of the Einstein Equations in Higher Dimensions

gr-qc

/ Authors

M. Jakimowicz, J. Tafel

/ 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.