Symmetries of f−associated standard static spacetimes and applications

Abstract

The purpose of this note is to study and explore some collineation vector fields on standard static spacetimes If × M(also called f− associated SSST). Conformal vector fields, Ricci and matter collineations are studied. Many implications for the existence of these collineations on f−associated SSSTs are obtained. Moreover, Ricci soliton structures on f− associated SSSTs admitting a potential conformal vector field are considered. Keywords: Conformal vector fields, Ricci collineations, Standard static spacetime, Ricci soliton, MSC: Primary 53C21, Secondary 53C25 53C50