# 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.
Type de document :
Pré-publication, Document de travail
15 pages. 2017
Domaine :

https://hal-univ-avignon.archives-ouvertes.fr/hal-01581652
Contributeur : Erwann Delay <>
Soumis le : lundi 4 septembre 2017 - 21:37:04
Dernière modification le : mercredi 29 novembre 2017 - 09:59:27

### Identifiants

• 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. 15 pages. 2017. 〈hal-01581652〉

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