Stability of self-gravitating Bose-Einstein condensates
Kris Schroven, Meike List, Cláus Lämmerzahl
We study the ground state and the first three radially excited states of a self-gravitating Bose-Einstein condensate with respect to the influence of two external parameters, the total mass and the strength of interactions between particles. For this we use the so-called Gross-Pitaevskii-Newton system. In this context we especially determine the case of very high total masses where the ground state solutions of the Gross-Pitaevskii-Newton system can be approximated with the Thomas-Fermi limit. Furthermore, stability properties of the computed radially excited states are examined by applying arguments of the catastrophe theory.
arXiv:1507.06122•Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields•Dec 2, 2015•17 citations