Effective Dynamics for Boson Stars
Juerg Froehlich, B. Lars G. Jonsson, Enno Lenzmann
TL;DR
This paper investigates the long-time behavior of boson star solutions in a pseudo-relativistic model, demonstrating their stability and effective dynamics under external gravitational influences.
Contribution
It provides the first rigorous analysis of the long-time effective dynamics and stability of boson stars influenced by external gravitational fields.
Findings
Proves long-time stability of boson star solutions
Derives effective equations governing boson star motion
Shows solutions remain close to solitary waves over time
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.
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