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Einstein‐Proca model: spherically symmetric solutions

Yuri N. ObukhovDepartment of Mathematics, University of Newcastle, Newcastle, NSW 2308, AustraliaE. J. VlachynskyDepartment of Mathematics, University of Newcastle, Newcastle, NSW 2308, Australia
1999en
ABI

Abstract

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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Cited by 30 references