On the quasi-linearity of the Einstein- "Gauss-Bonnet" gravity field equations
General Relativity and Quantum Cosmology
2007-05-23 v3 Astrophysics
High Energy Physics - Theory
Abstract
We review some properties of the Einstein-"Gauss-Bonnet" equations for gravity--also called the Einstein-Lanczos equations in five and six dimensions, and the Lovelock equations in higher dimensions. We illustrate, by means of simple Kaluza-Klein and brane cosmological models, some consequences of the quasi-linearity of these equations on the Cauchy problem (a point first studied by Yvonne Choquet-Bruhat), as well as on "junction conditions".
Keywords
Cite
@article{arxiv.gr-qc/0305004,
title = {On the quasi-linearity of the Einstein- "Gauss-Bonnet" gravity field equations},
author = {Nathalie Deruelle and John Madore},
journal= {arXiv preprint arXiv:gr-qc/0305004},
year = {2007}
}