On the "Einstein-Gauss-Bonnet Gravity in Four Dimension"

Abstract

To ensure the existence of a well defined linearized gravitational wave equation, we show that the spacetimes in the so-called "Einstein-Gauss-Bonnet gravity in four dimension" have to be locally conformally flat.

revtex, 5 pages, no figures

References in corpus (5)

• On Taking the $D\to 4$ limit of Gauss-Bonnet Gravity: Theory and Solutions
• Causality and Hyperbolicity of Lovelock Theories
• Comment on "Einstein-Gauss-Bonnet Gravity in Four-Dimensional Spacetime"
• Shock Formation in Lovelock Theories
• Hyperbolicity and Causality of Einstein-Gauss-Bonnet Gravity in Warped Product Spacetimes

Cited by in corpus (5)

• Black hole with confining electric potential in scalar-tensor description of regularized 4-dimensional Einstein-Gauss-Bonnet gravity
• Naked singularity in 4D Einstein-Gauss-Bonnet novel gravity: Echoes and (in)-stability
• 3D Lovelock Gravity and the Holographic c-Theorem
• Lower-dimensional Limits of Cubic Lovelock Gravity
• A Note on the Strong Hyperbolicity of $f(R)$ Gravity with Dynamical Shifts