Non-singular stationary spacetimes with negative cosmological constant and various matter fields

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Written by Paul Klinger

We present infinite-dimensional families of non-singular stationary space times, solutions of the Yang-Mills-Higgs-Einstein-Maxwell-Chern-Simons-dilaton-scalar field equations. The solutions are constructed using an implicit function argument around "non-degenerate" vacuum solutions (defined by requiring an operator associated with the linearisation of the equations to be an isomorphism). As Anti-de Sitter space is one example of such a solution, the constructed families include an infinite-dimensional family of solutions with the usual AdS conformal structure at conformal infinity.

This is joint work with Piotr Chrusciel and Erwann Delay.