On the nonlinear stability of higher dimensional triaxial Bianchi-IX black holes

Advances in Theoretical and Mathematical Physics

Volumn 10, Issue 4, 2006, Pages 503-523

  Dafermos, Mihalis ^a   Holzegel, Gustav ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 43049129873     PISSN: 10950761     EISSN: 10950753     Source Type: Journal    
DOI: 10.4310/ATMP.2006.v10.n4.a2     Document Type: Article

References (18)

1. A. Ashtekar and G. Galloway, Some uniqueness results for dynamical horizons, Adv. Theor. Math. Phys. 9 (2005).
2. P. Bizon, T. Chmaj, and B. Schmidt, Critical behavior in vacuum gravitational collapse in 4+1 dimensions, Phys. Rev. Lett. 95 (2005), 071102.
3. D. Christodoulou, The problem of a self-gravitating scalar field, Commun. Math. Phys. 105 (1986), 337-361.
4. D. Christodoulou, The global initial value problem and the issue of singularities, Class. Quantum Grav. 19 (1999), A23-A35.
5. P. Chruściel, On the global structure of Robinson-Trautman space-times, Proc. Roy. Soc. London Ser. A 436 (1992), 299-316.
6. M. Dafermos, Spherically symmetric spacetimes with a trapped surface, Class. Quantum Grav. 22 (2005), 2221-2232.
7. M. Dafermos, On naked singularities and the collapse of self-gravitating Higgs fields, Adv. Theor. Math. Phys. 9 (2005), 575-591.
8. M. Dafermos and A. Rendall, An extension principle for the Einstein-Vlasov equatinos in spherical symmetry, Ann. Henri Poincaré 6(6) (2005), 1137-1155.
9. M. Dafermos, and I. Rodnianski, A proof of Price's law for the collapse of a self-gravitating scalar field, Invent. Math. 162 (2005), 381-457.
10. R. Emparan and H. Reall, A rotating black ring solution in five dimensions, Phys. Rev. Lett. 88(10) (2002), 101101, 4 pp.
11. G. Gibbons, D. Ida, and T. Shiromizu, Uniqueness and nonuniqueness of static black holes in higher dimensions, Phys. Rev. Lett. 89(4) (2002), 041101, 4 pp.
12. G. Gibbons, Black holes in higher dimensions, Talk given at the Newton Institute, September 5th 2005, http://www.newton.cam.ac.uk/webseminars/pg+ws/2005/gmr/0905/gibbons/.
13. G. Gibbons, and S.A. Hartnoll, Gravitational instability in higher dimensions, Phys. Rev. D (3) 66(6) (2002), 064024, 17 pp.
14. G. Gibbons, H. Lü, D.N. Page, and C.N. Pope, The general Kerr-de Sitter metrics in all dimensions, J. Geom. Phys. 53(1) (2005), 49-73.
15. A. Ishibashi and H. Kodama, Stability of higher-dimensional Schwarzschild black holes, Progr. Theoret. Phys. 110(5) (2003), 901-919.
16. S.W. Hakwing and G.F.R. Ellis, The large scale structure of space-time, Cambridge University Press, London-New York, 1973.
17. P. Langfelder and R. Mann, A note on spherically symmetric naked singularities in general dimension, Classical Quantum Gravity 22(11) (2005), 1917-1932.
18. R.C. Myers and M.J. Perry, Black holes in higher dimensional space-times, Ann. Physics 172(2) (1986), 304-347.