“Modeling Dark Matter: a Dynamics Study”
Thursday 23 January 2025 h. 14:30 - Room 2BC30 - Gaia Marangon (Padova, Dip. Mat.)
Abstract
Dark matter is one of the most relevant and fascinating open problems in modern astrophysics. Since it cannot be directly observed, modeling it requires a balanced mix of physical intuition, mathematical deduction, and comparison with indirect experimental data.
In this talk, I will briefly introduce the physical context motivating our research, specifically the problem of dark matter distributions around galaxies. Starting from the Schrödinger-Poisson system, the most commonly used model for dark matter dynamics, I will outline the main directions our work has taken.
I will focus on two key aspects. First, I will discuss the issue of stationary states, ranging from numerical properties to comparison with experimental data. Then, I will propose a relativistic generalization of the model, the Klein-Gordon – Wave system. Its treatment by Hamiltonian perturbative techniques shows the potential of mathematical physics tools in building a comprehensive and reliable model.
The video of the seminar will appear shortly afterwards in this Mediaspace channel.
