The aim of this paper is to study the SO(3,1)×U(1) gauge minimally coupled charged spinless field to a spherically symmetric curved space‐time. It is derived the first order analytically approximation solution for the system of Klein‐Gordon‐Maxwell equations. Using these solutions, it evaluated the system electric charge density. The considered space ‐time manifold generalize an anterior studied one. The chosen space time configuration is of S diagonal type from the MAPLE GRTensor II metrics package.

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