Hyperbolic energy and Maskit gluings
Differential Geometry
2023-07-25 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Abstract
We derive a formula for the energy of asymptotically locally hyperbolic (ALH) manifolds obtained by a gluing at infinity of two ALH manifolds. As an application we show that there exist three-dimensional conformally compact ALH manifolds either without boundary or with toroidal black hole boundary, with connected conformal infinity of higher genus, with constant negative scalar curvature, and with negative mass.
Cite
@article{arxiv.2112.00095,
title = {Hyperbolic energy and Maskit gluings},
author = {Piotr T. Chruściel and Erwann Delay and Raphaela Wutte},
journal= {arXiv preprint arXiv:2112.00095},
year = {2023}
}
Comments
48 pages, 7 figures, v2: various improvements of the presentation, accepted for Advances in Theoretical and Mathematical Physics