Non-singular spacetimes with a negative cosmological constant: II. Static solutions of the Einstein-Maxwell equations

Piotr T. Chrusciel (1) , Erwann Delay (2)

1 Faculty of Physics [Vienna]
2 LMA - EA2151 Laboratoire de Mathématiques d'Avignon

We construct infinite-dimensional families of non-singular static space times, solutions of the vacuum Einstein-Maxwell equations with a negative cosmological constant. The families include an infinite-dimensional family of solutions with the usual AdS conformal structure at conformal infinity.

Mots clés: stationary metrics; Einstein-Maxwell equations; negative cosmological constant

Domaines: Géométrie différentielle [math.DG]; Relativité Générale et Cosmologie Quantique [gr-qc]; Physique des Hautes Energies - Théorie [hep-th]

Piotr T. Chrusciel, Erwann Delay. Non-singular spacetimes with a negative cosmological constant: II. Static solutions of the Einstein-Maxwell equations. 2017. ⟨hal-01406388v2⟩