Kerr black hole surrounded by a cloud of strings and its weak gravitational lensing in Rastall gravity

In this paper, an exact solution of Kerr black hole surrounded by a cloud strings in Rastall gravity is obtained Newman-Janis algorithm without complexification, and the influence string parameter $a_0$ on thermodynamics studied. Furthermore, according to solution, we investigate effect gravitational deflection massive particles. For receiver source at infinite distance from lens object, use osculating Riemannian manifold method. While finite, apply generalized Jacobi metric case between two situations, Jacobi-Maupertuis Randers-Finsler Gauss-Bonnet theorem are employed. We find that has obviously modification Our result reduced angle light general relativity.