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arXiv · 1507.06122

Stability of self-gravitating Bose-Einstein-Condensates

Kris Schroven·Meike List·Claus Lämmerzahl
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Abstract

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.

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Kris Schroven, Meike List, Claus Lämmerzahl. 2015-07-22. Stability of self-gravitating Bose-Einstein-Condensates. https://doi.org/10.1103/physrevd.92.124008

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