Study of Cylindrical Polytropes with Cosmological Constant

In this paper, we study cylindrically symmetric perfect fluid distribution in the presence of cosmological constant satisfying two cases of polytropic equation of state. The corresponding structure equations are formulated and solved through numerical technique. The resulting polytropic models turn out to be physically viable as they satisfy all the energy conditions. Finally, we analyze the stability of polytropes by applying perturbations on matter variables via polytropic constant as well as polytropic index and construct the force distribution function. It is found that compact object is stable for feasible choice of perturbed polytropic constant in each case while the perturbation in polytropic index yields stable results only for the first case.