On Asymptotically Locally Hyperbolic Metrics with Negative Mass

Piotr T. Chrusciel (Corresponding author), Erwann Delay (Corresponding author)

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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.
Original languageEnglish
Article number005
Number of pages15
JournalSymmetry, Integrability and Geometry: Methods and Applications
Publication statusPublished - 23 Jan 2023

Austrian Fields of Science 2012

  • 103012 High energy physics
  • 103028 Theory of relativity


  • scalar curvature
  • asymptotically hyperbolic manifolds
  • negative mass

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