Geons and the Instability of Anti-de Sitter Spacetime
arXiv:1408.5906
Abstract
We briefly review the evidence that anti-de Sitter spacetime is nonlinearly unstable, and the perturbative arguments that there should exist geons - nonsingular solutions to Einstein's equation with a helical symmetry. We then explicitly construct these geons numerically and discuss some of their properties. We conclude with some open questions.
15 pages, 2 figures; To appear in a special volume of "Surveys in Differential Geometry" in order to celebrate 100 years of general relativity theory