### Abstract

A uniqueness theorem for the anti-de Sitter (AdS) soliton was presented. The stability of physical systems depend on the existence of a state of least energy and in gravity this is assured by the positive energy theorem. A structure theorem for static λ <0 spacetimes was given and it was used to prove the uniqueness of the AdS soliton. The results offered support to the positive energy conjecture and added to the body of rigorous results inspired by AdS/conformal field theory (CFT) correspondence.

Original language | English (US) |
---|---|

Article number | 101102 |

Pages (from-to) | 1011021-1011024 |

Number of pages | 4 |

Journal | Physical Review Letters |

Volume | 88 |

Issue number | 10 |

State | Published - Mar 11 2002 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physical Review Letters*,

*88*(10), 1011021-1011024. [101102].

**A uniqueness theorem for the anti-de Sitter soliton.** / Galloway, Gregory J; Surya, S.; Woolgar, E.

Research output: Contribution to journal › Article

*Physical Review Letters*, vol. 88, no. 10, 101102, pp. 1011021-1011024.

}

TY - JOUR

T1 - A uniqueness theorem for the anti-de Sitter soliton

AU - Galloway, Gregory J

AU - Surya, S.

AU - Woolgar, E.

PY - 2002/3/11

Y1 - 2002/3/11

N2 - A uniqueness theorem for the anti-de Sitter (AdS) soliton was presented. The stability of physical systems depend on the existence of a state of least energy and in gravity this is assured by the positive energy theorem. A structure theorem for static λ <0 spacetimes was given and it was used to prove the uniqueness of the AdS soliton. The results offered support to the positive energy conjecture and added to the body of rigorous results inspired by AdS/conformal field theory (CFT) correspondence.

AB - A uniqueness theorem for the anti-de Sitter (AdS) soliton was presented. The stability of physical systems depend on the existence of a state of least energy and in gravity this is assured by the positive energy theorem. A structure theorem for static λ <0 spacetimes was given and it was used to prove the uniqueness of the AdS soliton. The results offered support to the positive energy conjecture and added to the body of rigorous results inspired by AdS/conformal field theory (CFT) correspondence.

UR - http://www.scopus.com/inward/record.url?scp=0037061237&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037061237&partnerID=8YFLogxK

M3 - Article

C2 - 11909336

AN - SCOPUS:0037061237

VL - 88

SP - 1011021

EP - 1011024

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 10

M1 - 101102

ER -