Anti-de Sitter geon families

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A detailed perturbative construction of globally regular, asymptotically anti-de Sitter (AdS) time-periodic solutions of Einstein's equations with a negative cosmological constant (AdS geons) is presented. Starting with the most general superposition of the l=2 even parity (scalar) eigenmodes of AdS at linear order, it is shown that at the fifth order in perturbation theory one obtains five one-parameter geon families, two of which have a helical Killing vector, one with axial symmetry, and two others without continuous symmetries. The details and some subtle aspects of the perturbative expansions are also presented.

Original languageEnglish
Article number084027
JournalPhysical Review D
Issue number8
Publication statusPublished - Oct 15 2017


ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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