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
A uniqueness theorem for the anti-de Sitter soliton. / Galloway, Gregory J; Surya, S.; Woolgar, E.
In: Physical Review Letters, Vol. 88, No. 10, 101102, 11.03.2002, p. 1011021-1011024.Research output: Contribution to journal › Article
}
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.
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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 -