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Title: Uniqueness theorem for the anti-de sitter soliton
Authors: Galloway, G.J.
Surya, Sumati
Woolgar, E.
Issue Date: Mar-2002
Publisher: American Physical Society
Citation: Physical Review Letters, 2002, vol.88, Issue 10, id. 101102
Abstract: 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 Λ<0 spacetime with negative mass. Nonetheless, arguing from the AdS conformal field theory (AdS/CFT) correspondence, Horowitz and Myers proposed a new positive energy conjecture, which asserts that the AdS soliton is the unique state of least energy in its asymptotic class. We give a new structure theorem for static Λ<0 spacetimes and use it to prove uniqueness of the AdS soliton. Our results offer significant support for the new positive energy conjecture and add to the body of rigorous results inspired by the AdS/CFT correspondence.
Description: Restricted Access. An open-access version is available at (one of the alternative locations)
ISSN: 0031-9007
1079-7114 (Onnline)
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Copyright: 2002, American Physical Society
Appears in Collections:Research Papers (TP)

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