Hyperbolic energy and Maskit gluings
- Author(s)
- Piotr T. Chruściel, Erwann Delay, Raphaela Wutte
- 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.
- Organisation(s)
- Gravitational Physics
- External organisation(s)
- Avignon Université, Technische Universität Wien
- Journal
- Advances in Theoretical and Mathematical Physics
- Volume
- 27
- Pages
- 1333-1403
- No. of pages
- 71
- ISSN
- 1095-0761
- DOI
- https://doi.org/10.48550/arXiv.2112.00095
- Publication date
- 07-2024
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 101006 Differential geometry, 103028 Theory of relativity, 103012 High energy physics
- ASJC Scopus subject areas
- Mathematics(all), Physics and Astronomy(all)
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/hyperbolic-energy-and-maskit-gluings(553f124f-d85f-4505-99b8-b21cdcb904b7).html