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

Abstract

Original 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." However, there is a gap in the proof, and it is unlikely that the strategy presented can be upgraded to a full proof.

From the author: this is the same file as the original submission, but the reader is warned that the proof contains a gap

References in corpus (6)

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Cited by in corpus (1)

• On time periodic solutions to the conformal cubic wave equation on the Einstein cylinder