Jeans instability and turbulent gravitational collapse of Bose-Einstein Condensate dark matter halos
We consider the Jeans instability and the gravitational collapse of the rotating Bose-Einstein Condensate dark matter halos, described by the zero temperature non-relativistic Gross-Pitaevskii equation, with repulsive inter-particle interactions. In the Madelung representation of the wave function, the dynamical evolution of the galactic halos is described by the continuity and the hydrodynamic Euler equations, with the condensed dark matter satisfying a polytropic equation of state with index $n=1$. By considering small perturbations of the quantum hydrodynamical equations we obtain the dispersion relation and the Jeans wave number, which includes the effects of the vortices (turbulence), of the quantum pressure and of the quantum potential, respectively. The critical scales above which condensate dark matter collapses (the Jeans radius and mass) are discussed in detail. We also investigate the collapse/expansion of rotating condensed dark matter halos, and we find a family of exact semi-analytical solutions of the hydrodynamic evolution equations, derived by using the method of separation of variables. An approximate first order solution of the fluid flow equations is also obtained. The radial coordinate dependent mass, density and velocity profiles of the collapsing/expanding condensate dark matter halos are obtained by using numerical methods.
NurtureToken New!

Token crowdsale for this paper ends in

Buy Nurture Tokens

Ask The Authors

Ask the authors of this paper a question or leave a comment.

Read it. Rate it.
#1. Which part of the paper did you read?

#2. The paper contains new data or analyses that is openly accessible?
#3. The conclusion is supported by the data and analyses?
#4. The conclusion is of scientific interest?
#5. The result is likely to lead to future research?

Github
User:
None (add)
Repo:
None (add)
Stargazers:
0
Forks:
0
Open Issues:
0
Network:
0
Subscribers:
0
Language:
None
Youtube
Link:
None (add)
Views:
0
Likes:
0
Dislikes:
0
Favorites:
0
Comments:
0
Other
Sample Sizes (N=):
Inserted:
Words Total:
Words Unique:
Source:
Abstract:
None
09/11/19 06:03PM
19,328
3,882
Tweets
higgsinocat: Jeans instability and turbulent gravitational collapse of Bose-Einstein Condensate dark matter halos. (arXiv:1909.05022v1 [gr-qc]) relevance:100% https://t.co/BhruWZPSrM #darkmatter https://t.co/EfGYPmToAe
scimichael: Jeans instability and turbulent gravitational collapse of Bose-Einstein Condensate dark matter halos https://t.co/mtq3TOLCii
Astrobotweet: Jeans instability and turbulent gravitational collapse of Bose-Einstein Condensate dark matter halos. (arXiv:1909.05022v1 [gr-qc]) https://t.co/7qdIaqtcfH
Images
Related