Chaotic orbital dynamics of pulsating stars around black holes surrounded by dark matter halos

Summary

The study investigates the orbital dynamics of pulsating stars around black holes surrounded by dark matter halos. It reveals that the stars' periodic pulsations lead to chaotic behavior in their orbits, which can be observed in the redshift time series of emitted light and gravitational-wave signals.

Highlights

• Pulsating stars around black holes exhibit chaotic orbital dynamics due to their periodic pulsations.
• The presence of dark matter halos surrounding the black holes plays a crucial role in this phenomenon.
• The chaotic behavior can be observed in the redshift time series of emitted light and gravitational-wave signals.
• The study uses Melnikov's method to detect homoclinic chaos in the system.
• The results have implications for astrophysical observations, particularly for stars approaching the innermost stable circular orbit of supermassive black holes.
• The chaotic behavior is not limited to specific types of dark matter halos or pulsating stars.
• The study's findings can be applied to a wide range of astrophysical scenarios.

Key Insights

• The onset of chaos in the orbital dynamics of pulsating stars is a direct consequence of the presence of ambient gravitating matter around the black hole.
• The chaotic behavior is triggered by the star's periodic pulsations, which can be modeled using a simple prescription for the quadrupole moment.
• The study's results have significant implications for our understanding of the dynamics of stars in the vicinity of supermassive black holes, particularly in the context of dark matter halos.
• The detection of homoclinic chaos using Melnikov's method provides a powerful tool for analyzing the orbital dynamics of pulsating stars in complex astrophysical environments.
• The study's findings suggest that the chaotic behavior of pulsating stars can be used as a probe for the presence of dark matter halos around black holes.
• The results of the study can be applied to a wide range of astrophysical scenarios, including the observation of stellar motions in the vicinity of supermassive black holes.
• The study's findings highlight the importance of considering the effects of dark matter halos on the orbital dynamics of stars in the vicinity of black holes.

Mindmap

Citation

Amancio, T. S., Mosna, R. A., & Vieira, R. S. S. (2024). Chaotic orbital dynamics of pulsating stars around black holes surrounded by dark matter halos. arXiv. https://doi.org/10.48550/ARXIV.2412.15938