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.

Keywords: stationary metrics; Einstein-Maxwell equations; negative cosmological constant

Domains: Mathematics [math]; Differential Geometry [math.DG]; Physics [physics]; General Relativity and Quantum Cosmology [gr-qc]; Physics [physics]; High Energy Physics - Theory [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⟩