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arxiv: 1609.03430 · v2 · submitted 2016-09-12 · 🌀 gr-qc · hep-th

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Static and rotating solutions for Vector-Galileon theories

Adolfo Cisterna , Mokhtar Hassaine , Julio Oliva , Massimiliano Rinaldi
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classification 🌀 gr-qc hep-th
keywords solutionsstaticantiblackdimensionsfieldholerotating
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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.

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    A no-go theorem shows that negative effective mass squared for the vector field in vector-tensor gravity always accompanies ghost or gradient instabilities, blocking spontaneous vectorization in stationary axisymmetri...