A uniqueness theorem for the anti-de Sitter soliton.

@article{Galloway2002AUT,
  title={A uniqueness theorem for the anti-de Sitter soliton.},
  author={Gregory J. Galloway and Sumati Surya and Eric Woolgar},
  journal={Physical review letters},
  year={2002},
  volume={88 10},
  pages={
          101102
        }
}
The stability of physical systems depends on the existence of a state of least energy. In gravity, this is guaranteed by the positive energy theorem. For topological reasons, this fails for nonsupersymmetric Kaluza-Klein compactifications, which can decay to arbitrarily negative energy. For related reasons, this also fails for the anti-de Sitter (AdS) soliton, a globally static, asymptotically toroidal Lambda<0 spacetime with negative mass. Nonetheless, arguing from the AdS conformal field… Expand
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