Anti-de Sitter geon families
General Relativity and Quantum Cosmology
2017-10-25 v2 High Energy Physics - Theory
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 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.
Keywords
Cite
@article{arxiv.1708.09228,
title = {Anti-de Sitter geon families},
author = {Gyula Fodor and Péter Forgács},
journal= {arXiv preprint arXiv:1708.09228},
year = {2017}
}
Comments
65 pages, minor changes