Speaker: Carlos Peón Nieto (Charles University, Prague)
Title: Characterisations of Kerr-de Sitter in arbitrary dimension from conformal infinity
Abstract: Using the asymptotic initial value problem for Lambda positive Einstein metrics, we give a semi-global (i.e. "near" conformal infinity) characterization of the arbitrary dimensional Kerr-de Sitter family of metrics in terms of their asymptotic data. This asymptotic data generalizes into a bigger class of Kerr-de Sitter-like data, naturally equipped with a topological structure, in such a way that the entire class connects with Kerr-de Sitter data via a limit or an analytic extension. This structure on the data implies limits or analytic extensions of the corresponding spacetime metrics, which we are able to identify, defining the Kerr-de Sitter-like class of metrics. We obtain all such metrics explicitly. All Kerr-de Sitter-like metrics also admit a Kerr-Schild decomposition, which we also prove characterizes the class. Finally, using a classification of five dimensional algebraically special metrics with non-degenerate optical matrix, we show that these also match the Kerr-de Sitter-like class and discuss potential extensions of this result to higher dimensions.
Room: Sala de Reuniões e Seminários (2-8.3) (2nd Floor of Physics Building)