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arxiv: 1708.04947 · v2 · submitted 2017-08-16 · 🌀 gr-qc · hep-th· math.DG

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

Piotr T. Chru\'sciel , Erwann Delay , Paul Klinger
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classification 🌀 gr-qc hep-thmath.DG
keywords solutionsblackconformalconstantcosmologicalequationsfamiliesfields
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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.

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