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http://hdl.handle.net/2289/4553
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 arXiv.org (one of the alternative locations) |
URI: | http://hdl.handle.net/2289/4553 |
ISSN: | 0031-9007 1079-7114 (Onnline) |
Alternative Location: | http://arxiv.org/abs/hep-th/0108170 http://dx.doi.org/10.1103/PhysRevLett.88.101102 http://adsabs.harvard.edu/abs/2002PhRvL..88j1102G |
Copyright: | 2002, American Physical Society |
Appears in Collections: | Research Papers (TP) |
Files in This Item:
File | Description | Size | Format | |
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2002_PhysRevLett_V.88_p101102.pdf Restricted Access | Restricted Access | 89.58 kB | Adobe PDF | View/Open Request a copy |
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