# Einstein-Proca Model, Micro Black Holes, and Naked Singularities

@article{Vuille2002EinsteinProcaMM, title={Einstein-Proca Model, Micro Black Holes, and Naked Singularities}, author={Chris Vuille and James R. Ipser and J. B. Gallagher}, journal={General Relativity and Gravitation}, year={2002}, volume={34}, pages={689-696} }

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-Nordström solution in the limit as the range parameter μ goes to zero. The additional terms in the g00 metric…

## 19 Citations

### Proca Q tubes and their coupling to gravity

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The Einstein-Proca system is studied in the case of a complex vector-field self-interacting through an appropriate potential with a global U(1) symmetry. The corresponding equations for a static,…

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This thesis considers two particular systems of gravity coupled to matter: Einstein-non-Abelian-Proca (ENAP) theory with gauge group $SU(2)$ in asymptotically anti-de Sitter (AdS) spacetime and…

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Bopp–Podolsky electrodynamics is generalized to curved space-times. The equations of motion are written for the case of static spherically symmetric black holes and their exterior solutions are…

### Proca Equations of a Massive Vector Boson Field

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- 2006

Proca equation is a relativistic wave equation for a massive spin-1 particle. The weak interaction is transmitted by such kind of vector bosons. Also vector fields are used to describe spin-1 mesons…

### Proca Effect in Kerr–Newman Metric

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The Proca effect of an electric field is studied in curved space. A Kerr–Newman metric with the photon rest mass can be presented by the analytic continuation (Xu, C. M. (....). General Relativity…

### Generalized nonlinear Proca equation and its free-particle solutions

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We introduce a nonlinear extension of Proca’s field theory for massive vector (spin 1) bosons. The associated relativistic nonlinear wave equation is related to recently advanced nonlinear extensions…

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Changing the set of independent variables of Poincare gauge theory and considering, in a manner similar to the second-order formalism of general relativity, the Riemannian part of the Lorentz…

### Kerr black holes with Proca hair

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Bekenstein proved that in Einstein's gravity minimally coupled to one (or many) real, Abelian, Proca field, stationary black holes (BHs) cannot have Proca hair. Dropping Bekenstein's assumption that…

### The Maxwell–Chern–Simons gravity, and its cosmological implications

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We consider the cosmological implications of a gravitational theory containing two vector fields coupled via a generalized Chern–Simons term. One of the vector fields is the usual Maxwell field,…

### Alexandru Proca (1897--1955) the Great Physicist

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We commemorate 50 years from A. Proca's death. Proca equation is a relativistic wave equation for a massive spin-1 particle. The weak interaction is transmitted by such kind of vector bosons. Also…

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