L. A. López, Time-Dependent 5D Solutions of the EinsteinEquations, Speakable and unspeakable in gravitational physics:testing gravity from submillimeter to cosmic scale (2009),AIP 1256, 201 (2010).
In this work are obtained 5D time?dependent solutions of Einstein equations, one is obtained by means of equiping a cylindrically symmetry solution (JEKK) with a scalar field, then lifting it to a fifth dimension. The other is obtained transforming the Myers?Perry solution via Wick rotation. The two solutions can be interpreted as gravitational waves in some cases. The singularities and C?energy are addressed.