Mgr. Iryna Bormotova
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Investigation of cosmological inhomogeneous solutions, such as the Stephani and Lemaitre-Tolman-Bondi models, focuses on the behavior of particle and light trajectories in the vicinity of black holes within these spacetimes. Particular attention is given to the study of black hole shadows in a realistic cosmological context, with results compared against observational data from supermassive black holes, including M87 and Sagittarius A*.
Additionally, a hydrodynamic model has been developed to describe small acoustic oscillations in a stellar cloud, taking into account a self-consistent gravitational field in equilibrium with a non-zero second correlation moment. This model has been applied to observational data for massive globular clusters, demonstrating good compatibility with theoretical predictions. Further calculations are planned for elliptical star clusters.