Ricci Bi-Conformal Vector Fields on Homogeneous Gödel-Type Spacetimes

Abstract

In this paper, we consider the homogeneous Gödel-type spacetimes and we completely classify the Ricci bi-conformal vector fields on these spaces. Also, we show that all Ricci bi-conformal vector fields on homogeneous Gödel-type spacetimes are Killing vector fields and Ricci collineation vector fields.