Hyperbolic Mass in 2+1 Dimensions
General Relativity and Quantum Cosmology
2025-09-03 v1 High Energy Physics - Theory
Differential Geometry
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.
Keywords
Cite
@article{arxiv.2509.00994,
title = {Hyperbolic Mass in 2+1 Dimensions},
author = {Raphaela Wutte},
journal= {arXiv preprint arXiv:2509.00994},
year = {2025}
}
Comments
4 pages, submitted to the proceedings of the GR24-Amaldi16 meeting