The Phase Transition of $4D$ Yang-Mills Charged GB AdS Black Hole with Cloud of Strings

Abstract: In this paper, we present an exact spherically symmetric and Yang-Mills charged AdS black hole solution in the context of $4D$ Einstein-Gauss-Bonnet (EGB) gravity in the presence of a cloud of strings. The regularity of the solution is checked. Thermodynamics of this solution is studied. The critical behavior, the types of phase transitions in canonical ensemble, the Joule-Thomson expansion, the Clapeyron equation and the critical exponents shall be investigated.