Spinning Black Holes and CR 3-Folds

Geometry/topology Seminar

Curtis Porter (NCSU, Mathematics)

Monday, December 3, 2018 -
3:15pm to 4:15pm
Location: 
119 Physics

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.

Last updated: 2018/12/16 - 10:21pm