Self-gravitating systems

This lecture presents numerical simulations illustrating the time evolution of isolated self-gravitating systems of particles, showing how the total energy is conserved in isolated systems and how external perturbations affect the system's evolution. It also explores the balance between kinetic and potential energy in self-gravitating systems, highlighting the contraction and expansion processes that occur to reach equilibrium. The lecture concludes by mentioning the use of larger-scale simulations to study the formation and evolution of galaxies.