On periodic solutions of nonlinear wave equations, including Einstein equations with a negative cosmological constant

Author(s)
Piotr T. Chrusciel
Abstract

We construct periodic solutions of nonlinear wave equations using analytic continuation. The construction applies in particular to Einstein equations, leading to infinite-dimensional families of time-periodic solutions of the vacuum, or of the Einstein-Maxwell-dilaton-scalar fields-Yang-Mills-Higgs-Chern-Simons-$f(R)$ equations, with a negative cosmological constant.

Organisation(s)
Gravitational Physics
No. of pages
15
Publication date
11-2017
Austrian Fields of Science 2012
103028 Theory of relativity, 103019 Mathematical physics
Keywords
Portal url
https://ucrisportal.univie.ac.at/en/publications/on-periodic-solutions-of-nonlinear-wave-equations-including-einstein-equations-with-a-negative-cosmological-constant(967301fb-1b6f-44fa-a6b9-cde209efb409).html