On Asymptotically Locally Hyperbolic Metrics with Negative Mass

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• Main Authors: Chruściel, Piotr T., Delay, Erwann
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211879
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Asymptotically Locally Hyperbolic Metrics with Negative Mass. Piotr T. Chruściel and Erwann Delay. SIGMA 19 (2023), 005, 15 pages

We construct families of asymptotically locally hyperbolic Riemannian metrics with constant scalar curvature (i.e., time symmetric vacuum general relativistic initial data sets with negative cosmological constant), with prescribed topology of apparent horizons and of the conformal boundary at infini...