Study of curvature collineations in anisotropic cosmologies: Bianchi type-III and Kantowski-Sachs models in f(R, T) gravity

Department of Mathematics, The Government Sadiq College Women University - Bahawalpur, 63100, Pakistan

Received: 27 January 2026
Accepted: 16 March 2026

Abstract

In this paper, anisotropic Bianchi type-III spatial homogeneity and Kantowski-Sachs cosmological model have been explored in the presence of the theory. In this we have sorted the proper curvature vector field by Riemann tensor of rank 6 × 6 in the gravity theory for Bianchi type-III and Kantowski-Sachs models with some algebraic operations and the process of direct integration. Classification of the mentioned spacetimes leads to seven cases based on a different function and their values. On analyzing all such instances, we find out that seven cases are possible. Among these cases, five admit non-trivial curvature collineations (CCs) which are vector space over an infinite dimensional field. For the other two examples, there are no proper CCs and the Killing vector fields (KVFs) are these homothetic vector fields (HVFs); this kind of HVFs becomes KVFs.