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# 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.
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Preprints, Working Papers, ...
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https://hal-univ-avignon.archives-ouvertes.fr/hal-01581652
Contributor : Erwann Delay Connect in order to contact the contributor
Submitted on : Monday, September 4, 2017 - 9:37:04 PM
Last modification on : Tuesday, January 14, 2020 - 10:38:14 AM

### Identifiers

• HAL Id : hal-01581652, version 1
• ARXIV : 1708.04947

### Citation

Piotr T. Chruściel, Erwann Delay, Paul Klinger. Non-singular spacetimes with a negative cosmological constant: IV. Stationary black hole solutions with matter fields. 2017. ⟨hal-01581652⟩

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