Non-singular spacetimes with a negative cosmological constant: IV. Stationary black hole solutions with matter fields

Abstract

We use an elliptic system of equations with complex coefficients for a set of complex-valued tensor fields as a tool to construct infinite-dimensional families of non-singular stationary black holes, real-valued Lorentzian solutions of the Einstein-Maxwell-dilaton-scalar fields-Yang-Mills-Higgs-Chern-Simons-$f(R)$ equations with a negative cosmological constant. The families include an infinite-dimensional family of solutions with the usual AdS conformal structure at conformal infinity.

16 pages, journal accepted version

References in corpus (4)

• A Higher Dimensional Stationary Rotating Black Hole Must be Axisymmetric
• Non-trivial, static, geodesically complete space-times with a negative cosmological constant II. $n\ge 5$
• Static Einstein-Maxwell Magnetic Solitons and Black Holes in an Odd Dimensional AdS Spacetime
• On analyticity of static vacuum metrics at non-degenerate horizons