The Einstein-Proca equations, describing a spin-1 massive vector field in general relativity, are studied in the static, spherically-symmetric case. The Proca field equation is a highly nonlinear wave equation, but can be solved to good accuracy in perturbation theory, which should be very accurate for a wide range of mass scales. The resulting first order metric reduces to the Reissner-Nordstrom solution in the limit as the range parameter µ goes to zero. The additional terms in the g00 metric are positive, as in Reissner-Nordstrom, in agreement with previous numerical solutions, and hence involve naked singularities. Note: This paper was published in General Relativity and Gravitation, May 2002.
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