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arXiv · 1211.7305

A positive mass theorem in the Einstein-Gauss-Bonnet theory

Yuxin Ge·Guofang Wang·Jie Wu
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Abstract

As an interesting application of the Einstein-Gauss-Bonnet theory and our work on the Gauss-Bonnet-Chern mass (Ge, Wang, Wu), we obtain a positive mass theorem for asymptotically flat graphs in $\R^{n+1}$ under a condition that $R+αL_2$ is non-negative, where $R$ is the scalar curvature, $α\in\R$ a constant and $L_2$ the second Gauss-Bonnet curvature. A Penrose type inequality is also obtained in the case $α>0$.

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Yuxin Ge, Guofang Wang, Jie Wu. 2013-04-26. A positive mass theorem in the Einstein-Gauss-Bonnet theory. https://arxiv.org/abs/1211.7305

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