Stability of self-gravitating Bose-Einstein-Condensates

TL;DR

This paper investigates the stability and properties of self-gravitating Bose-Einstein condensates, analyzing ground and excited states under varying mass and interaction strength using the Gross-Pitaevskii-Newton system.

Contribution

It provides a detailed analysis of the stability of excited states and explores the Thomas-Fermi approximation for high-mass condensates.

Findings

Ground state solutions can be approximated by the Thomas-Fermi limit at high masses.

Stability properties of excited states are characterized using catastrophe theory.

External parameters significantly influence the condensate's state stability.

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.