A Note on Proper Homothetic Vector Fields of Reboucus Space-time by Using Lorentzian Manifolds

Abstract

In this work direct integration and algebraic techniques have been implied to study the proper homothetic vector filds of Reboucus space-time. It has been proved that the above space-time does not admit any proper homothetic field. Its homothetic vector fields are the Killing vector fields. The Killing Lie algebras in this case have dimensions 3.