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arXiv · 2509.02694

Self-similar kinetics for gravitational Bose-Einstein condensation

A. S. Dmitriev·D. G. Levkov·A. G. Panin·I. I. Tkachev
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Abstract

We study an overpopulated gas of gravitationally interacting bosons surrounding a droplet of Bose-Einstein condensate - Bose star. We argue that kinetic evolution of this gas approaches with time a self-similar attractor solution to the kinetic equation. If the scale symmetry of the equation is broken by external conditions, the attractor solution exists, remains approximately self-similar, but has slowly drifting scaling dimension. The latter new regime of adiabatic self-similarity can determine growth of dark matter Bose stars in cosmological models.

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A. S. Dmitriev, D. G. Levkov, A. G. Panin, I. I. Tkachev. 2025-09-02. Self-similar kinetics for gravitational Bose-Einstein condensation. https://doi.org/10.1103/52sq-jslx

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