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A mini-boson star refers to a bound system of a complex scalar boson field with an astronomically large particle number N, but only a very small stellar radius ≅ Compton wavelength of a free boson, m−1. The star is held together by gravity. We prove that the lowest mass 1s solutions are stable against small oscillations, whereas other ns solutions (n ⩾ 2) are not. Thus, the critical mass of mini-boson stars is the Kaup-Ruffini-Bonazzola limit M ≅ 0.633(Gm)−1 where G is Newton's constant.
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Lee et al. (1989) studied this question.
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