Self-similar growth of Bose stars

A.G. Panin; A.S. Dmitriev; D.G. Levkov; I.I. Tkachev

Self-similar growth of Bose stars

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arxiv 2305.01005 v4 pith:W36K6YLI submitted 2023-05-01 astro-ph.CO astro-ph.GAcond-mat.stat-mechhep-ph

A.S. Dmitriev , D.G. Levkov , A.G. Panin , I.I. Tkachev This is my paper · ORCID

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keywords bosegrowthstarbathkineticmassself-similartheory

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We analytically solve the problem of Bose star growth in the bath of gravitationally interacting particles. We find that after nucleation of this object the bath is described by a self-similar solution of kinetic equation. Together with the conservation laws, this fixes mass evolution of the Bose star. Our theory explains, in particular, the slowdown of the star growth at a certain "core-halo" mass, but also predicts formation of heavier and lighter objects in magistral dark matter models. The developed "adiabatic" approach to self-similarity may be of interest for kinetic theory in general.

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