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Stability of self-gravitating Bose-Einstein-Condensates
General Relativity and Quantum Cosmology · Submitted 22 Jul 2015
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Furthermore, stability properties of the computed radially excited states are examined by applying arguments of the catastrophe theory.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | 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. | contribution 1.00 | 0.94 | 0.07 | asserted 0.86 |
| s1 | For this we use the so-called Gross-Pitaevskii-Newton system. | method 1.00 | 0.56 | 0.02 | asserted 0.97 |
| s2 | 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. | method 0.70 | 0.83 | 0.08 | asserted 0.84 |
| s3 | Furthermore, stability properties of the computed radially excited states are examined by applying arguments of the catastrophe theory. | method 0.89 | 0.90 | 0.11 | asserted 0.96 |
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Original 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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