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

Publications: Working paperPreprint

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.
Original languageEnglish
PublisherarXiv.org
Number of pages15
Publication statusPublished - 30 Nov 2017

Austrian Fields of Science 2012

  • 103028 Theory of relativity
  • 103019 Mathematical physics

Keywords

  • gr-qc
  • hep-th
  • math-ph
  • math.AP
  • math.DG
  • math.MP

Cite this