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

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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Cited by in corpus (38)

• Brane-World Gravity
• The 4D Einstein-Gauss-Bonnet Theory of Gravity: A Review
• Junction Conditions in f(R) Theories of Gravity
• Black Holes in Bi-scalar Extensions of Horndeski Theories
• Black Hole Production in Particle Collisions and Higher Curvature Gravity
• Scalar brane backgrounds in higher order curvature gravity
• Einstein-Gauss-Bonnet metrics: black holes, black strings and a staticity theorem
• Shear Viscosity to Entropy Density Ratio in Six Derivative Gravity
• Five-dimensional black strings in Einstein-Gauss-Bonnet gravity
• Formation of caustics in k-essence and Horndeski theory
• Gravitational Waves in a Codimension Two Braneworld
• On the thin-shell limit of branes in the presence of Gauss-Bonnet interactions
• A Novel Derivation of the Boundary Term for the Action in Lanczos-Lovelock Gravity
• Exact Solutions in Higher-Dimensional Lovelock and $Ad{S}_5$ Chern-Simons Gravity
• Gravitating multidefects from higher dimensions
• Choptuik's Critical Phenomenon in Einstein-Gauss-Bonnet Gravity
• Tensor Galileons and Gravity
• Causality Violations in Lovelock Theories
• Lovelock solutions in the presence of matter sources
• Kink-antikink, trapping bags and five-dimensional Gauss-Bonnet gravity
• A note on the Deser-Tekin charges
• Slice Energy in Higher Order Gravity Theories and Conformal Transformations
• Einstein-Gauss-Bonnet theory of gravity: The Gauss-Bonnet-Katz boundary term
• On Gauss-Bonnet Curvatures
• Petrov type I Condition and Rindler Fluid in Vacuum Einstein-Gauss-Bonnet Gravity
• A new mass for asymptotically flat manifolds
• Intersecting hypersurfaces in AdS and Lovelock gravity
• Some considerations on the Mac Dowell-Mansouri action
• Chern-Weil theorem, Lovelock Lagrangians in critical dimensions and boundary terms in gravity actions
• Generalization of Einstein-Lovelock theory to higher order dilaton gravity
• Intersecting hypersurfaces and Lovelock Gravity
• Mass and angular momenta of Kerr-anti-de Sitter spacetimes
• A positive mass theorem in the Einstein-Gauss-Bonnet theory
• Slice Energy and Conformal Frames in Theories of Gravitation
• Brane Cosmology from Heterotic String Theory
• Black hole solutions of modified gravity theories
• Gauss-Bonnet dynamical compactification scenarios and their ghosts in the tensor sectors
• Inducing the Lovelock action