Stability of self-gravitating Bose-Einstein-Condensates

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.

11 pages, 9 figures

References in corpus (9)

• The Schrödinger-Newton equation as non-relativistic limit of self-gravitating Klein-Gordon and Dirac fields
• Gravitational Stability of Boson Stars
• Bosonic gas as a Galactic Dark Matter Halo
• Gravitational collapse of Bose-Einstein condensate dark matter halos
• Evolution and dynamical properties of Bose-Einstein condensate dark matter stars
• Stability of Q-balls and Catastrophe
• Centre-of-mass motion in multi-particle Schroedinger-Newton dynamics
• How does gravity save or kill Q-balls?
• Rotation curves of ultralight BEC dark matter halos with rotation

Cited by in corpus (9)

• Phase transitions between dilute and dense axion stars
• Collapse of a self-gravitating Bose-Einstein condensate with attractive self-interaction
• A predictive model of BEC dark matter halos with a solitonic core and an isothermal atmosphere
• Jeans type instability of a complex self-interacting scalar field in general relativity
• Jeans mass-radius relation of self-gravitating Bose-Einstein condensates and typical parameters of the dark matter particle
• Jeans instability and turbulent gravitational collapse of Bose-Einstein Condensate dark matter halos
• Quantum tunneling rate of dilute axion stars close to the maximum mass
• Supermassive Black Holes from self-gravitating Bose-Einstein Condensates comprised of Ultra-light Bosonic Dark Matter
• Condensation of Galactic Cold Dark Matter