Asymptotic behavior and orbital stability of galactic dynamics in relativistic scalar gravity
Abstract
The Nordstr\"om-Vlasov system is a relativistic Lorentz invariant generalization of the Vlasov-Poisson system in the gravitational case. The asymptotic behavior of solutions and the non-linear stability of steady states are investigated. It is shown that solutions of the Nordstr\"om-Vlasov system with energy grater or equal to the mass satisfy a dispersion estimate in terms of the conformal energy. When the energy is smaller than the mass, we prove existence and non-linear (orbital) stability of a class of static solutions (isotropic polytropes) against general perturbations. The proof of orbital stability is based on a variational problem associated to the minimization of the energy functional under suitable constraints.
Keywords
Cite
@article{arxiv.0707.3211,
title = {Asymptotic behavior and orbital stability of galactic dynamics in relativistic scalar gravity},
author = {Simone Calogero and Oscar Sanchez and Juan Soler},
journal= {arXiv preprint arXiv:0707.3211},
year = {2009}
}
Comments
30 pages, 3 figures