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

2012/11/30 by Yuxin Ge, Guofang Wang, Ge, Yuxin +3
Mathematics · Physics and Astronomy · #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc #math.DG

paper · pdf · doi:10.48550/arxiv.1211.7305

Withdrawn since main results were integrated into the new version of arXiv 1211.3645 as applications

arxiv created 2013/04/26 · arxiv updated 2013/04/29

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 \Rⁿ⁺¹ under a condition that R+αL₂ is non-negative, where R is the scalar curvature, α∈\R a constant and L₂ the second Gauss-Bonnet curvature. A Penrose type inequality is also obtained in the case α>0.

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