1211.7305 (Yuxin Ge et al.)

A positive mass theorem in the Einstein-Gauss-Bonnet theory    [PDF]

Yuxin Ge, Guofang Wang, Jie Wu

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 $R+\alpha L_2$ is non-negative, where $R$ is the scalar curvature, $\alpha\in\R$ a constant and $L_2$ the second Gauss-Bonnet curvature. A Penrose type inequality is also obtained in the case $\alpha>0$.

View original: http://arxiv.org/abs/1211.7305