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://ucrisportal.univie.ac.at/en/publications/on-asymptotically-locally-hyperbolic-metrics-with-negative-mass(c582e735-d789-4b50-9d2e-fa97a4cc661c).html