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# Curtis Porter : Spinning Black Holes and CR 3-Folds

Some physically significant solutions to Einstein's field equations are spacetimes which are foliated by a family of curves called a shear-free null geodesic congruence (SFNGC). Examples include models of gravitational waves that were recently detected, and rotating black holes. The properties of a SFNGC induce a CR structure on the 3-dimensional leaf space of the foliation. The Kerr Theorem says that the family of metrics associated to a SFNGC contains a conformally flat representative iff the corresponding CR structure is embeddable in a real hyperquadric. Using Cartan's method of moving frames, we can classify which Levi-nondegenerate CR 3-folds are embeddable in the hyperquadric.

**Category**: Geometry and Topology**Duration**: 01:34:38**Date**: December 3, 2018 at 3:10 PM**Views**: 276-
**Tags:**seminar, Geometry/topology Seminar

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