Non-singular space-times with a negative cosmological constant: V. Boson stars

  • Piotr T. Chruściel
  • Erwann Delay
  • Paul Klinger
  • Andreas Kriegl
  • Peter W. Michor
  • Armin Rainer


We prove existence of large families of solutions of Einstein-complex scalar field equations with a negative cosmological constant, with a stationary or static metric and a time-periodic complex scalar field.


Boson stars Negative cosmological constant Periodic solutions of Einstein equations 

Mathematics Subject Classification

83C20 83E15 



The research of PTC was supported in part by the Austrian Research Fund (FWF), Project P29517-N27, by the Polish National Center of Science (NCN) under Grant 2016/21/B/ST1/00940 and by the Erwin Schrödinger Institute. Armin Rainer was supported by the FWF-Project P 26735-N25. Paul Klinger was supported by a uni:docs grant of the University of Vienna. We are grateful to Gilles Carron and Luc Nguyen for useful comments and discussions.


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Copyright information

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Authors and Affiliations

  • Piotr T. Chruściel
    • 2
  • Erwann Delay
    • 1
  • Paul Klinger
    • 2
  • Andreas Kriegl
    • 3
  • Peter W. Michor
    • 3
  • Armin Rainer
    • 3
  1. 1.Laboratoire de Mathématiques d’Avignon (EA 2151)Université d’AvignonAvignonFrance
  2. 2.Faculty of Physics and Erwin Schrödinger InstituteUniversity of ViennaWienAustria
  3. 3.Fakultät für MathematikUniversität WienWienAustria

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