Nonlinear Charged Black Hole Solution in Rastall Gravity

We show that the spherically symmetric black hole (BH) solution of a charged (linear case) field equation Rastall gravitational theory is not affected by parameter and this consistent with results presented in literature. However, when we apply Rastall’s to special form nonlinear electrodynamics (NED) source, derive novel BH involves parameter. The main source appearance trace part NED which has non-vanishing value, unlike linear equation. new Anti?de-Sitter Reissner?Nordström spacetime absorbed into cosmological constant. This coincides GR limit, i.e., vanishing. To gain more insight BH, study stability using deviation geodesic equations condition. Moreover, explain thermodynamic properties it stable, case second-order phase transition. Finally, prove validity first law thermodynamics.