Title: The Asymptotically Self-Similar Regime for the Einstein Vacuum Equations,
Abstract: We develop a local theory for the construction of singular spacetimes in all
spacetime dimensions which become asymptotically self-similar as the
singularity is approached. The techniques developed also allow us to construct
and classify exact self-similar solutions which correspond to the formal
asymptotic expansions of Fefferman and Graham's ambient metric.