On the uniqueness of the AdS space-time in higher dimensions
Qing, Jie
arXiv, 0310281 / Harvested from arXiv
Text on arXiv
In this paper, based on an intrinsic definition of asymptotically AdS space-times, we show that the standard anti-de Sitter space-time is the unique strictly stationary asymptotically AdS solution to the vacuum Einstein equations with negative cosmological constant in dimension less than 7. Instead of using the positive energy theorem for asymptotically hyperbolic spaces our approach appeals to the classic positive mass theorem for asymptotically flat spaces.
Publié le : 2003-10-17
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  53C25, 53C80, 58J60 
@article{0310281,
     author = {Qing, Jie},
     title = {On the uniqueness of the AdS space-time in higher dimensions},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0310281}
}

Qing, Jie. On the uniqueness of the AdS space-time in higher dimensions. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0310281/