In this article, we investigate the stationary, soliton-like solutions in the
model of the Einstein gravity coupled to a free and complex scalar field, and
extend chains of mini-boson stars to the rotating case. These solutions
manifest as multiple rotating mini-boson stars uniformly arranged along the
rotation axis. Through numerical methods, we obtain chains of rotating
mini-boson stars with one to five constituents. We show the distribution of the
field functions for these chain solutions. Additionally, we also study the
effect of the frequency of the complex scalar field on the ADM mass $M$ and
angular momentum $J$. By comparing the conclusions of the rotating case with
the non-rotating case, there are some intriguing differences. Furthermore, we
observe that there exist two ergospheres for some of these solutions.
Conclusion:
In this study, we explored the existence of stationary, soliton-like solutions in the model of the Einstein gravity coupled to a free and complex scalar field. We extended our investigation to the rotating case and observed that these solutions manifest as multiple rotating mini-boson stars arranged uniformly along the rotation axis. Through numerical methods, we obtained chains of rotating mini-boson stars with varying numbers of constituents. The distribution of the field functions for these chain solutions was examined, and the effect of the frequency of the complex scalar field on the ADM mass $M$ and angular momentum $J$ was studied.
Comparing the conclusions of the rotating case with the non-rotating case revealed intriguing differences. Furthermore, we observed the presence of two ergospheres for some of these solutions.
Future Roadmap:
Potential Challenges:
- Further investigation is required to explore the properties and behavior of these rotating mini-boson star chains in detail.
- It would be challenging to obtain chains with a larger number of constituents, as this may require more complex numerical methods and computational resources.
- The effect of other parameters, such as the mass and charge of the scalar field, on the properties of these solutions should be examined.
- The physical implications and possible astrophysical applications of these rotating mini-boson stars need to be explored.
Potential Opportunities:
- There is an opportunity to further understand the nature of soliton-like solutions in the Einstein gravity coupled to a free and complex scalar field through this research.
- The observed differences between rotating and non-rotating cases present an opportunity for studying the influence of rotation on the properties of such solutions.
- The presence of two ergospheres in some solutions raises interesting questions about their gravitational and energetic properties, which can be explored further.
- The potential astrophysical applications, such as in the study of compact astrophysical objects, gravitational waves, and dark matter, are worth investigating.
This study paves the way for future research on rotating mini-boson stars and their implications in both theoretical physics and astrophysics. A deeper understanding of these solutions and their properties could contribute to advances in our understanding of the fundamental laws of gravity and the behavior of complex scalar fields in extreme physical conditions.