The Non-relativistic Limit of the Euler Nordstr\"om System with Cosmological Constant
Mathematical Physics
2010-11-19 v3 General Relativity and Quantum Cosmology
Analysis of PDEs
math.MP
Abstract
In this paper the author studies the singular limit c to infinity of the family of Euler-Nordstr\"om systems indexed by the parameters kappa and c (EN_kappa,c), where kappa^2 > 0 is the cosmological constant and c is the speed of light. Using Christodoulou's techniques to generate energy currents, the author develops Sobolev estimates that show that for initial data belonging to an appropriate Sobolev space, as c tends to infinity, the solutions to the EN_kappa,c system converge uniformly on a spacetime slab [0,T]xR^3 to the solution of the Euler-Poisson system with the cosmological constant kappa^2.
Keywords
Cite
@article{arxiv.0810.2369,
title = {The Non-relativistic Limit of the Euler Nordstr\"om System with Cosmological Constant},
author = {Jared Speck},
journal= {arXiv preprint arXiv:0810.2369},
year = {2010}
}
Comments
Some minor typos were corrected. Page formatting changed to resemble that of the published version. 57 pages