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Static and rotating solutions for Vector-Galileon theories

Research paper by Adolfo Cisterna, Mokhtar Hassaine, Julio Oliva, Massimiliano Rinaldi

Indexed on: 12 Sep '16Published on: 12 Sep '16Published in: arXiv - General Relativity and Quantum Cosmology



Abstract

We consider a particular truncation of the generalized Proca field theory in four dimensions for which we construct a static and axisymmetric rotating black hole "stealth solutions", namely solutions with (Anti) de Sitter or Kerr metric but non-trivial vector field. The static configuration is promoted to a backreacting black hole with asymptotic (Anti) de Sitter behavior by turning on a nonlinear electrodynamic source given as a fixed power of the Maxwell invariant. Finally we extend our solutions to arbitrary dimensions.