Hyperbolic Mass in 2+1 Dimensions

Abstract

This short review surveys mass for two-dimensional asymptotically locally hyperbolic initial data sets. I explain the difficulties in defining mass in spatial dimension two, which are resolved via minimisation using a positive energy theorem, and review how gluing theorems can be used to construct novel initial data sets with controlled mass.

4 pages, submitted to the proceedings of the GR24-Amaldi16 meeting