homogeneous generalized ricci solitons on the lanczos universe

This work is devoted to the study of killing vector fields associated with friedmann–lemaître–robertson–walker (flrw) spacetimes. after establishing the general properties of these symmetries, we narrow our attention to a distinguished subclass of flrw models, known as the lanczos universe. for this particular family of homogeneous spacetimes, we develop an algebraic description that captures their essential geometric structure. utilizing this algebraic perspective, we further explore the this work is devoted to the study of killing vector fields associated with friedmann–lemaître–robertson–walker (flrw) spacetimes. after establishing the general properties of these symmetries, we narrow our attention to a distinguished subclass of flrw models, known as the lanczos universe. for this particular family of homogeneous spacetimes, we develop an algebraic description that captures their essential geometric structure. utilizing this algebraic perspective, we further explore theexistence and properties of generalized ricci solitons within the framework of lanczos spacetimes.