Lagrange coordinates for the Einstein-Euler equations
General Relativity and Quantum Cosmology
2013-07-25 v1
Abstract
We derive a new symmetric hyperbolic formulation of the Einstein-Euler equations in Lagrange coordinates that are adapted to the Frauendiener-Walton formulation of the Euler equations. As an application, we use this system to show that the densitized lapse and zero shift coordinate systems for the vacuum Einstein equations are equivalent to Lagrange coordinates for a fictitious fluid with a specific equation of state.
Keywords
Cite
@article{arxiv.1307.6278,
title = {Lagrange coordinates for the Einstein-Euler equations},
author = {Todd A. Oliynyk},
journal= {arXiv preprint arXiv:1307.6278},
year = {2013}
}