On Asymptotically Locally Hyperbolic Metrics with Negative Mass
- Author(s)
- Piotr T. Chrusciel, Erwann Delay
- Abstract
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 infinity, and with controlled mass. In particular we obtain new classes of solutions with negative mass.
- Organisation(s)
- Gravitational Physics
- External organisation(s)
- Centre National de la Recherche Scientifique (CNRS), Reims, Avignon Université
- Journal
- Symmetry, Integrability and Geometry: Methods and Applications
- Volume
- 19
- No. of pages
- 15
- ISSN
- 1815-0659
- DOI
- https://doi.org/10.3842/SIGMA.2023.005
- Publication date
- 01-2023
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103012 High energy physics, 103028 Theory of relativity
- Keywords
- ASJC Scopus subject areas
- Analysis, Geometry and Topology, Mathematical Physics
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/on-asymptotically-locally-hyperbolic-metrics-with-negative-mass(c582e735-d789-4b50-9d2e-fa97a4cc661c).html