Global foliations of vacuum spacetimes with T2 isometry

Annals of Physics

Volumn 260, Issue 1, 1997, Pages 117-148

  Berger, Beverly K ^a   Chruściel, Piotr T ^b   Isenberg, James ^c,e   Moncrief, Vincent ^d  

^a OAKLAND UNIVERSITY   (United States)

^b UNIVERSITÉ DE TOURS   (France)

^c UNIVERSITY OF OREGON   (United States)

^d Yale University   (United States)

^e ALBERT EINSTEIN INSTITUT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031259010     PISSN: 00034916     EISSN: None     Source Type: Journal    
DOI: 10.1006/aphy.1997.5707     Document Type: Article

References (20)

1. Budic R., Isenberg J., Lindblom L., Yasskin P. On the determination of Cauchy surfaces from intrinsic properties. Comm. Math. Phys. 61:1978;87-95.
2. Choquet-Bruhat Y., Geroch R. Global aspects of the Cauchy problem in general relativity. Comm. Math. Phys. 14:1969;344-357.
3. Choquet-Bruhat Y., York J. W. The Cauchy problem. General Relativity and Gravitation. 1980;Plenum, New York.
4. Christodoulou D. Examples of naked singularity formation in the gravitational collapse of a scalar field. Ann. Math. 140:1994;607-653.
5. Chruściel P. T. On space-times withUU. Ann. Phys. 202:1990;100-150.
6. Chruściel P. T. On uniqueness in the large solutions of Einstein's equations ('Strong Cosmic Censorship'). Proceedings of the Centre Math. Appl. Austral. Nat. Univ. 27:1991;Austral. Nat. Univ. Canberra.
7. Chruściel P. T. On completeness of orbits of Killing vector fields. Class. Quant. Grav. 10:1993;2091-2101.
8. Chrusciel P. T., Isenberg J. Non isometric vacuum extensions of vacuum maximal globally hyperbolic spacetimes. Phys. Rev. D 15. 48:1993;1616-1628.
9. Chruściel P. T., Isenberg J., Moncrief V. Strong cosmic censorship in polarized gowdy spacetimes. Class. Quant. Grav. 7:1990;1671-1679.
10. Chruściel P. T., Rendall A. Strong cosmic censorship in vacuum space-times with compact locally homogeneous Cauchy surfaces. Ann. Phys. 142:1995;349-385.
11. Gowdy R. Vacuum spacetimes and compact invariant hypersurfaces: topologies and boundary conditions. Ann. Phys. 83:1974;203-241.
12. Hawking S., Ellis G. The Large Scale structure of Spacetime. 1973;Cambridge Univ. Press, Cambridge.
13. Kramer D., Stephani H., McCallum M., Herlt E. Exact Solutions of Einstein's Field Equations. 1980;Cambridge Univ. Press, Cambridge.
14. Majda A. Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables. 1984;Springer-Verlag, New York/Berlin.
15. 31. Ann. Phys. 132:1981;87-107.
16. Moncrief V. Infinite-dimensional family of vacuum cosmological models with Taub-NUT-type extensions. Phys. Rev. D. 23:1981;312.
17. Penrose R. Techniques of Differential Topology in Relavity. Regional Conference Series in Applied Math. 7:1972.
18. A. Rendall, 1996, Existence of constant mean curvature foliations in spacetimes with two-dimensional local symmetry.
19. Ryan M., Shepley L. Homogeneous Relativistic Cosmologies. 1975;Princeton Univ. Press, Princeton.
20. Weinstein G. Black hole stationary and axially symmetric solutions of the Einstein-Maxwell equations. Comm. Part. Diff. Eqs. 21:1996;1389-1430.