Although the experimental foundation for the existence of boson stars is completely lacking, on the theoretical and mathematical front, boson stars are well studied. Recent work includes a mathematical approach in terms of large and small data [87], followed up by studying singularity formation [151] and uniqueness [88, 150] for a certain boson star equation. In Ref. [48], they study radial solutions of the semi-relativistic Hartree type equations in terms of global well-posedness. Ref. [30] demonstrates stationarity of time periodic scalar field solutions.

Beyond just existence, however, boson stars are often employed mathematically to study dynamics. Here, we concentrate on a few of these topics that have attracted recent interest.

Living Rev. Relativity 15, (2012), 6
http://www.livingreviews.org/lrr-2012-6 |
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