Hyperbolic Mass in 2+1 Dimensions

Explore a 34-minute conference talk on hyperbolic mass in 2+1 dimensions, presented by Raphaela Wutte at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into a gluing theorem for time-symmetric vacuum general relativistic initial data sets with negative cosmological constant in two spatial dimensions. Discover the derivation of mass formulae for resulting manifolds and learn how the gluing procedure yields complete manifolds with any mass aspect function, smooth except for one or two conical singularities. Examine how these glued manifolds exhaust all time-symmetric Banados geometries near conformal infinity. Gain insights from this presentation, which was part of the Thematic Programme on "Carrollian Physics and Holography" and is based on joint work with Piotr T. Chruściel.