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arXiv · 1708.09228

Anti-de Sitter geon families

Gyula Fodor·Péter Forgács
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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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Gyula Fodor, Péter Forgács. 2017-08-30. Anti-de Sitter geon families. https://doi.org/10.1103/physrevd.96.084027

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