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Anti-de Sitter geon families

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arxiv 1708.09228 v2 pith:VHJS6PNG submitted 2017-08-30 gr-qc hep-th

Gyula Fodor , Péter Forgács This is my paper
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keywords anti-defamiliesgeonorderperturbativepresentedsitteraspects
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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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Cited by 1 Pith paper

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  1. Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder

    gr-qc 2025-08 conditional novelty 3.0 of 10

    For the cubic conformal wave equation on the Einstein cylinder, time-periodic solutions form complex trunk-branch bifurcation networks, and a resummed Poincaré-Lindstedt series is claimed to encode these structures.

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