Surveys in Differential Geometry
Volume 20 (2015)
Geons and the instability of anti-de Sitter spacetime
Pages: 321 – 335
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.
anti-de Sitter spacetime, geons, instability, geons, numerical relativity
2010 Mathematics Subject Classification