Remarks on the Einstein-Euler-Entropy system
Analysis of PDEs
2015-08-07 v1 General Relativity and Quantum Cosmology
Mathematical Physics
Differential Geometry
math.MP
Abstract
We prove short-time existence for the Einstein-Euler-Entropy system for non-isentropic fluids with data in uniformly local Sobolev spaces. The cases of compact as well as non-compact Cauchy surfaces are covered. The method employed uses a Lagrangian description of the fluid flow which is based on techniques developed by Friedrich, hence providing a completely different proof of earlier results of Choquet-Bruhat and Lichnerowicz. This new proof is specially suited for applications to self-gravitating fluid bodies.
Cite
@article{arxiv.1301.5570,
title = {Remarks on the Einstein-Euler-Entropy system},
author = {Marcelo M. Disconzi},
journal= {arXiv preprint arXiv:1301.5570},
year = {2015}
}