Einstein‐Proca model: spherically symmetric solutions

Abstract The Proca wave equation describes a classical massive spin 1 particle. We analyze the gravitational interaction of this vector field. In particular, the spherically symmetric solutions of the Einstein‐Proca coupled system are obtained numerically. Although at infinity the metric field approaches the usual Schwarzschild (Reissner‐Nordström) limit, we demonstrate the absence of black hole type configurations.

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