Cylindrically Symmetric Marder Universe and Its Proper Teleparallel Homothetic Motions

This paper is concerned to find proper teleparallel homothetic vector fields in cylindrically symmetric Marder universe. Our method comprised of some algebraic and direct integration technique. It is shown that in the absence of curvature and in the presence of torsion the above spacetime admits one proper teleparallel homothetic vector field for a particular choice of the metric functions.