Homothetic vector fields of LRS Bianchi type-I spacetimes via the RIF tree approach

We adopt a new approach to the study of homothetic vector fields of locally rotationally symmetric Bianchi type-I spacetimes. The obtained results are compared with the results of the direct integration technique and it is observed that the reduced involutive form (RIF) tree approach produces some new physically realistic metrics admitting proper homothetic vector fields, which were not given by the direct integration technique. The physical implications of the obtained metrics are also discussed by computing their energy–momentum tensors and connecting the parameters involved in the metrics with different energy conditions.