Effective Dynamics for Boson Stars
arXiv:math-ph/0605053 · doi:10.1088/0951-7715/20/5/001
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
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Cited by in corpus (15)
- Boson Stars as Solitary Waves
- Uniqueness of Ground States for Pseudo-Relativistic Hartree Equations
- Blow-Up for Nonlinear Wave Equations describing Boson Stars
- Nondispersive solutions to the L2-critical half-wave equation
- The Boson star equation with initial data of low regularity
- Classical limit for semi-relativistic Hartree systems
- On Stability of Pseudo-Conformal Blowup for L^2-critical Hartree NLS
- Small data scattering for semi-relativistic equations with Hartree type nonlinearity
- Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities
- The Lieb-Yau Conjecture for Ground States of Pseudo-Relativistic Boson Stars
- Many-Body Blow-Up Profile of Boson Stars with External Potentials
- Semirelativistic Choquard equations with singular potentials and general nonlinearities arising from Hartree-Fock theory
- Nondispersive solutions to the mass critical half-wave equation in two dimensions
- Direct methods for pseudo-relativistic Schrödinger operators
- Convergence of states for polaron models in the classical limit