Effective Dynamics for Boson Stars

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.

57 pages, 4 figures

References in corpus (4)

• Solitary Wave Dynamics in an External Potential
• Asymptotic stability of N-soliton states of NLS
• Mean-Field Limit of Quantum Bose Gases and Nonlinear Hartree Equation
• Spectra of Linearized Operators for NLS Solitary Waves

Cited by in corpus (1)

• Classical limit for semi-relativistic Hartree systems