Non-Schwarzschild black holes sourced by scalar-vector fields

In a scalar-vector-gravity theory with the vector sector described by nonlinear electrodynamics, the field equations are integrated using the well-known gravitational decoupling method. The resulting spacetime corresponds to a spherically symmetric and static non-Schwarzschild black hole. Employing the master equations for both even and odd parity modes, it is proven that the solution is stable under certain conditions satisfied by the scalar and vector field parameters. To further corroborate the theoretical feasibility of this toy model, the causal structure, geodesic motion for massive particles, and some thermodynamic features are analyzed in detail.