Spacetime structure of static solutions in Gauss-Bonnet gravity: Neutral case

@article{Torii2005SpacetimeSO,
  title={Spacetime structure of static solutions in Gauss-Bonnet gravity: Neutral case},
  author={Takashi Torii and Hideki Maeda},
  journal={Physical Review D},
  year={2005},
  volume={71},
  pages={064007}
}
We study the spacetime structures of the static solutions in the n-dimensional Einstein-Gauss-Bonnet-{lambda} system systematically. We assume the Gauss-Bonnet coefficient {alpha} is non-negative and a cosmological constant is either positive, zero, or negative. The solutions have the (n-2)-dimensional Euclidean submanifold, which is the Einstein manifold with the curvature k=1, 0, and -1. We also assume 4{alpha}-tilde/l{sup 2}{ 0. The divergent behavior around the singularity in Gauss-Bonnet… Expand
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