Homothety groups in space-time
The authors investigate Lorentzian space-times which admit an r- dimensional Lie algebra of homothetic vector fields at least one of which is proper homothetic (i.e., it is not a Killing vector field). A complete description of the situation is obtained if \(r\geq 6\) and some results are given for \(r\leq 5\). Based on these results the authors also consider space-times which admit affine vector fields. They establish the maximal dimension of the Lie algebra of affine vector fields and construct examples when the dimension of this algebra is high.
scientific article; zbMATH DE number 4144859
scientific article