The Initial Value Problem for the Generalised Einstein Equations

Abstract

This thesis discusses (in the setting of exact Courant algebroids) three aspects of curvature in Hitchin's generalised geometry: It proves the existence of a unique geometrically preferred canonical Levi-Civita generalised connection with specified divergence, it introduces tools for generalised submanifold geometry, and it establishes that the generalised Einstein equations admit (in the setting of a closed divergence operator) a maximal globally hyperbolic development for arbitrary initial data.