arXiv:2403.09748v1 Announce Type: new
Abstract: Physics-informed neural network (PINN) analysis of the dynamics of S-stars in the vicinity of the supermassive black hole in the Galactic center is performed within General Relativity treatment. The aim is to reveal the role of possible extended mass (dark matter) configuration in the dynamics of the S-stars, in addition to the dominating central black hole’s mass. The PINN training fails to detect the extended mass perturbation in the observational data for S2 star within the existing data accuracy, and the precession constraint indicates no signature of extended mass up to 0.01% of the central mass inside the apocenter of S2. Neural networks analysis thus confirm its efficiency in the analysis of the S-star dynamics.

Analysis of S-Star Dynamics in the Galactic Center

In this study, a Physics-informed neural network (PINN) analysis is conducted to examine the dynamics of S-stars in the vicinity of the supermassive black hole in the Galactic center. The goal is to investigate the potential influence of an extended mass configuration, possibly dark matter, on the S-star dynamics alongside the dominant central black hole’s mass.

The PINN training process, however, fails to detect any evidence of the extended mass perturbation in the observational data for the S2 star, considering the existing level of data accuracy. Moreover, the precession constraint analysis does not reveal any discernible signature of extended mass up to 0.01% of the central mass inside the apocenter of S2. These findings indicate that the neural network analysis confirms its efficiency in studying the dynamics of S-stars.

Roadmap for Future Studies

Despite the current limitations in detecting the extended mass configuration in the S-star dynamics, further research in this field holds promise for potential advancements. The following steps can be taken to enhance our understanding:

  1. Improved Data Accuracy: One of the foremost challenges is improving the accuracy of the observational data for S2 and other S-stars. Until higher precision data is available, the examination of the extended mass perturbation will remain inconclusive.
  2. Refinement of PINN Methodology: Continual refinement of the PINN methodology can optimize its effectiveness in analyzing the dynamics of S-stars. Exploring different network architectures and incorporating additional physical constraints may produce more accurate results.
  3. Expansion of Sample Size: Expanding the sample size beyond the S2 star to include more S-stars can provide a broader dataset for analysis. This will enable the detection of smaller extended mass perturbations and enhance our understanding of their influence on the dynamics.
  4. Investigation of Dark Matter: To gain insights into the role of dark matter in the dynamics of S-stars, specific studies dedicated to understanding the properties and distribution of dark matter around the central black hole can be conducted in parallel.

By addressing these challenges and exploring the suggested opportunities, future research can advance our knowledge of the S-star dynamics in the Galactic center, shedding light on the significance of extended mass configurations and the role of dark matter.

Reference: [arXiv:2403.09748v1]

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