Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898392 | Differential Geometry and its Applications | 2017 | 11 Pages |
Abstract
We study warped product semi-Riemannian Einstein manifolds. We consider the case in that the base is conformal to an n-dimensional pseudo-Euclidean space and invariant under the action of an (nâ1)-dimensional translation group. We provide all such solutions in the case Ricci-flat when the base is conformal to an n-dimensional pseudo-Euclidean space, invariant under the action of an (nâ1)-dimensional translation group and the fiber F is Ricci-flat. In particular, we obtain explicit solutions, in the case vacuum, for the Einstein field equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Márcio Lemes de Sousa, Romildo Pina,