On Asymptotically Locally Hyperbolic Metrics with Negative Mass

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2023
• ISSN: 1815-0659
• Hauptverfasser: Chruściel, Piotr T., Delay, Erwann
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2023
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211879
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...