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 language | English |
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Publisher | arXiv.org |
Number of pages | 15 |
Publication status | Published - 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