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2023, no. 1

STABILITY OF GRAVITATIONALLY BOUNDED BOSE-EINSTEIN CONDENSATE CONSISTING OF SELF-INTERACTING BOSONS

Samorodov N.A., Popov V.A.

Considering Dark Matter as light self-interacting bosons, we study the stability of compact gravitationally bounded Bose-Einstein condensates (Bose stars). The problem was considered before under the Cowling approximation, i.e. ignoring variations in the gravitational potential. This approach reduces the eigenvalue problem from a fourth-order equation to a second-order one. The Cowling approximation is not used in this work, and the problem is reduced to a second-order equation for the displacement vector. Eigenfunctions and eigenvalues are found for the radial and the few lowest non-radial perturbations. The perturbations are oscillating, which implies the stability of the condensate.

Keywords: Axion, dark matter, Bose-Einstein condensate, Bose-star, stability.

UDC: 524-1/-8

PACS: 03.75.Kk, 95.30.Lz, 95.35.+d

DOI: 10.17238/issn2226-8812.2023.1.101107

Please cite this article in English as:
Samorodov N. A., Popov V. A. Stability of gravitationally bounded Bose-Einstein condensate consisting of self-interacting bosons. Space, Time and Fundamental Interactions, 2023, no. 1, pp. 101107.