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On the quasi-linearity of the Einstein- "Gauss-Bonnet" gravity field equations

Nathalie Deruelle·John Madore
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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".

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Nathalie Deruelle, John Madore. 2003-06-26. On the quasi-linearity of the Einstein- "Gauss-Bonnet" gravity field equations. https://arxiv.org/abs/gr-qc/0305004

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