On a Regular Charged black Hole with a Nonlinear Electric Source

A modified version of the Reissner-Nordstrom metric is proposed on the grounds of the nonlinear electrodynamics model. The source of curvature is an anisotropic fluid with p (r) =-rho which resembles the Maxwell stress tensor at r >> q (2)/2m, where q and m are the mass and charge of the particle, respectively. We found the black hole horizon entropy obeys the relation S=|W|/2T=A (H) /4, with W the Komar energy and A (H) the horizon area. The electric field around the source depends not only on its charge but also on its mass. The corresponding electrostatic potential Phi(r) is finite everywhere, vanishes at the origin and at r=q (2)/6m and is nonzero asymptotically, with Phi(infinity) = 3m/2q.