Perfect fluid Bianchi cosmological model admitting conformal motions in f(Q, T) gravity

In this paper, we intend to explore Conformal Vector Fields (CVFs) of the Locally Rotationally Symmetric (LRS) Bianchi type-I cosmological model within the setup of f ( Q, T ) gravity, where Q denotes the non-metricity scalar and T is the trace of stress energy tensor. We start with a linear form of f ( Q, T ) gravity to solve equations of motion in the background of a type I LRS Bianchi cosmological model. We then follow a general form of the function f ( Q, T ) along with some additional constraints to explore exact space-times. With the help of such general form, we construct four types of non-trivial f ( Q, T ) gravity models. These models are in square root form, power law form, an exponential as well as a logarithmic form. Applying these f ( Q, T ) gravity models, we explore a variety of cosmological solutions admitting rotational symmetry. For these cosmological solutions, we find the CVFs. We observe that the constructed LRS Bianchi type-I solutions admit CVFs of dimension four, five, six, or fifteen. The physical entities like energy density and pressure associated with each Bianchi cosmological model are also being discussed.