%0 Journal Article %T Boson Stars: Early History and Recent Prospects %A Eckehard W. Mielke %A Franz E. Schunck %J Physics %D 1998 %I arXiv %X Boson stars are descendants of the so-called geons of Wheeler, except that they are built from scalar particles instead of electromagnetic fields. If scalar fields exist in nature, such localized configurations kept together by their self-generated gravitational field can form within Einstein's general relativity. In the case of complex scalar fields, an absolutely stable branch of such non-topological solitons with conserved particle number exists. Our present surge stems from the speculative possibility that these compact objects could provide a considerable fraction of the non-baryonic part of dark matter. In any case, they may serve as a convenient "laboratory" for studying numerically rapidly rotating bodies in general relativity and the generation of gravitational waves. %U http://arxiv.org/abs/gr-qc/9801063v1