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Anti–de Sitter geon families

Abstract : 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.
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Submitted on : Thursday, November 23, 2017 - 10:38:09 AM
Last modification on : Tuesday, January 11, 2022 - 5:56:09 PM

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Gyula Fodor, Péter Forgács. Anti–de Sitter geon families. Physical Review D, American Physical Society, 2017, 96 (8), pp.084027. ⟨10.1103/PhysRevD.96.084027⟩. ⟨hal-01645721⟩

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