Speaker
Matthew Terje Aadne
(UiS TN IMF)
Description
A Lorentzian manifold $(M,g)$ is said to be $I$-non-degenerate if any deformation of the metric which leaves the collection of scalar curvature invariants unchanged results in a spacetime which is locally isometric to $(M,g)$. In this talk we characterize $I$-non-degeneracy in terms of algebraic type and present progress towards resolving the Kundt conjecture, which states that if $(M,g)$ is not $I$-non-degenerate, then there exists some open subset $U\subset M$ which admits a degenerate Kundt null-congruence.
Primary author
Matthew Terje Aadne
(UiS TN IMF)
