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Non-singular spacetimes with a negative cosmological constant. IV: Stationary black hole solutions with matter fields. (English) Zbl 1382.83051

Summary: 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.
For paper III see [P. T. Chruściel et al., “Nonsingular spacetimes with a negative cosmological constant. Stationary solutions with matter fields”, Phys. Rev. D 95, No. 10, Article ID 104039 (2017; doi:10.1103/PhysRevD.95.104039)].

MSC:

83C57 Black holes
83C75 Space-time singularities, cosmic censorship, etc.
83C15 Exact solutions to problems in general relativity and gravitational theory
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
81T13 Yang-Mills and other gauge theories in quantum field theory
58J28 Eta-invariants, Chern-Simons invariants
53Z05 Applications of differential geometry to physics
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References:

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