Proper teleparallel conformal symmetries of some static space-times

In this project, we consider teleparallel theory of gravitation and explore Killing and proper conformal vector fields for diagonal tetrads of some symmetric static space-time. For the purpose, direct integration technique will be used to investigate conformal vector fields admitted by some static space-times. We will derive the conformal equations for the general form of killing vector fields and also their inherited conformal factors. The presence of conformal killing symmetries enforce some restrictions on the metric functions. These enforced restrictions on the metric functions are generally attained as a set of integrablity conditions. We will obtain the space-time admitting the specific conformal symmetry by taking in view of the cases for time-like and inheritance of conformal vectors. In order to obtain conformal symmetry of space-times, we will solve the integrability conditions for different cases arising in the symmetry of space-time