
doi: 10.1007/bf00759043
handle: 1822/63614
The metric of type-N Robinson-Trautman space-times is generated by a real functionP satisfying certain field equations. Canonical forms forP are obtained under the assumption that at least one curvature collineation exists. In order to give an example of the improper subgroup structure of a group of curvature collineations all the curvature collineations are determined for the space-times corresponding to one of the two canonical forms.
Special Riemannian manifolds (Einstein, Sasakian, etc.), Applications of local differential geometry to the sciences, curvature collineations, Gravitational energy and conservation laws; groups of motions, vacuum spacetimes, Applications of global differential geometry to the sciences, Robinson-Trautman spaces
Special Riemannian manifolds (Einstein, Sasakian, etc.), Applications of local differential geometry to the sciences, curvature collineations, Gravitational energy and conservation laws; groups of motions, vacuum spacetimes, Applications of global differential geometry to the sciences, Robinson-Trautman spaces
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