2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126774We study solutions close to solitary waves of the pseudo-relativistic Hartree equation describing boson stars under the influence of an external gravitational field. In particular, we analyze the long-time effective dynamics of such solutions. In essence, we establish a (long-time) stability result for solutions describing boson stars that move under the influence of an external gravitational field.57 pages, 4 figuresMathematical Physics35Q55; 37K40; 81Q05text