J. Froehlich, B. L. G. Jonsson, E. Lenzmann
Effective Dynamics for Boson Stars
(673K, PDF)

ABSTRACT.  We 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.