On the uniqueness of the ADS spacetime

Acta Mathematica Sinica, English Series

Volumn 21, Issue 4, 2005, Pages 917-922

  Wang, Xiao Dong ^a  

^a MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

ADS spacetime; Asymptotically hyperbolic manifold; Positive mass theorem; Static vacuum

Indexed keywords

EID: 23044480107     PISSN: 14398516     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10114-004-0489-x     Document Type: Article

References (13)

1. Boucher, W., Gibbons, G. W., Horowitz, Gary, T.: Uniqueness theorem for anti-de Sitter spacetime. Phys. Rev., D(3), 30(12), 2447-2451 (1984)
2. Galloway, G. J., Surya, S., Woolgar, E.: On the geometry and mass of static, asymptotically ads spacetimes, and the uniqueness of the ads soliton: e-Print, hep-th/0204081
3. Wang, X. D.: The mass of asymptotically hyperbolic manifolds. J. Differential Geom., 57(2), 273-299 (2001)
4. Piotr, T. Chruściel, Herzlich, M.: The mass of asymptotically hyperbolic riemannian manifolds, e-Print math.DG/0110035.
5. Robin Graham, C.: Volume and area renormalizations for conformally compact Einstein metrics. The Proceedings of the 19th Winter School "Geometry and Physics", (Srní, 1999), 63, 31-42 (2000)
6. Qing, J.: On the rigidity for conformally compact Einstein manifolds. Int. Math. Res. Not., 21, 1141-1153 (2003)
7. Bunting, Gary, L., Masood-ul Alam, A. K. M.: Nonexistence of multiple black holes in asymptotically Euclidean static vacuum space-time. Gen. Relativity Gravitation, 19(2), 147-154 (1987)
8. Masood-ul Alam, A. K. M.: Uniqueness of a static charged dilaton black hole. Classical Quantum Gravity, 10(12), 2649-2656 (1993)
9. Masood-ul Alam, A. K. M.: Uniqueness proof of static charged black holes revisited. Classical Quantum Gravity, 9(5), L53-L55 (1992)
10. Miao, P. Z.: Positive Mass Theorem on Manifolds admitting Corners along a Hypersurface, arXiv math-ph/0212025
11. Shi, Y., Tam, L.: Positive mass theorem and the boundary behavior of compact manifolds with nonegative scalar curvature. arXiv math.
12. Chruściel, Piotr, T. Simon, W.: Towards the classification of static vacuum spacetimes with negative cosmological constant. J. Math. Phys., 42(4), 1779-1817 (2001)
13. Wang, X. D.: On conformally compact Einstein manifolds. Math. Res. Lett., 8(5-6), 671-688 (2001)