Geometric Characterizations of Kerr-de Sitter and Related Metrics in All Dimensions

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• Carlos Peón Nieto (UPM, Madrid)
• Friday 24 January 2025, 13:00-14:00
• Potter Room / https://cam-ac-uk.zoom.us/j/84511154241?pwd=B778JtHEd8Vb7aTOdsygQhBdXWbybI.1.

If you have a question about this talk, please contact Daniela Cors.

The Kerr-de Sitter metric, originally proposed by Carter in four dimensions and later extended by Gibbons, Lü, Page and Pope to all dimensions, is likely to play a relevant role among Lambda positive vacuum spacetimes. To better understand what makes it special, we calculate the asymptotic data characterizing the metric near conformal infinity. This requires a review of tools in conformal geometry, such as the Fefferman-Graham expansion, and its relation with the asymptotic initial value problem in arbitrary dimensions. The asymptotic data obtained for Kerr-de Sitter admits a straightforward generalization to a broader class of spacetimes that depends on a set of parameters, which we refer to as Kerr-de Sitter-like class. This class of metrics is obtained explicitly as limits or analytic extensions of Kerr-de Sitter and the space of parameters inherits a natural topological structure from the asymptotic data. Furthermore, we discuss additional characterizations within the Kerr-Schild type metrics and the algebraically special metrics that highlight the geometrical significance of the class.

This talk is part of the DAMTP Friday GR Seminar series.

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