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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Soumis le : jeudi 23 novembre 2017 - 10:38:09
Dernière modification le : mercredi 20 mars 2019 - 08:48:42

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Gyula Fodor, Péter Forgács. Anti–de Sitter geon families. Phys.Rev.D, 2017, 96 (8), pp.084027. 〈10.1103/PhysRevD.96.084027〉. 〈hal-01645721〉

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