Attractors of the Einstein-Klein Gordon system
General Relativity and Quantum Cosmology
2021-05-31 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
It is shown that negative Einstein metrics are attractors of the Einstein-Klein-Gordon system. As an essential part of the proof we upgrade a technique that uses the continuity equation complementary to -estimates to control massive matter fields. In contrast to earlier applications of this idea we require a correction to the energy density to obtain sufficiently good pointwise bounds.
Keywords
Cite
@article{arxiv.1901.10378,
title = {Attractors of the Einstein-Klein Gordon system},
author = {David Fajman and Zoe Wyatt},
journal= {arXiv preprint arXiv:1901.10378},
year = {2021}
}