Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11010177 | Journal of Mathematical Analysis and Applications | 2019 | 15 Pages |
Abstract
We consider the static vacuum Einstein spacetime when the spatial factor is conformal to a n-dimensional pseudo-Euclidean space. The most general ansatz that reduces the resulting system of partial differential equations to a system of ordinary differential equations is completely described. We obtain the entire set of solutions of the reduced system, where the classical Schwarzschild solution arises as a particular solution. In addition, we show that the Riemannian spatial factors associated to these solutions are foliated by parallel hypersurfaces of constant mean curvature.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
João Paulo dos Santos, Benedito Leandro,