Asymptotic behavior in polarized T2-symmetric vacuum space-times

Journal of Mathematical Physics

Volumn 40, Issue 1, 1999, Pages 340-352

  Isenberg, James ^a   Kichenassamy, Satyanad ^b,c  

^a UNIVERSITY OF OREGON   (United States)

^b MAX PLANCK INSTITUTE FOR MATHEMATICS IN THE SCIENCES   (Germany)

^c UNIVERSITÉ DE REIMS CHAMPAGNE ARDENNE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033477077     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532775     Document Type: Article

References (24)

1. S. W. Hawking and G. F. R. Ellis, The Large-Scale Structure of Spacetime (Cambridge U. P., Cambridge, England, 1973).
2. J. Wainwright and L. Hsu, "A dynamical systems approach to Bianchi cosmologies: orthogonal models of class A," Class. Quantum Grav. 6, 1409-1431 (1989).
3. V. A. Belinskii, I. M. Khalatnikov, and E. M. Lifshitz, "A general solution of the Einstein equations with a time singularity," Adv. Phys. 13, 639-667 (1982).
4. A. D. Rendall, "Global dynamics of the mixmaster model," Class. Quantum Grav. 14, 2341-2356 (1997).
5. J. Isenberg and V. Moncrief, "Asymptotic behavior of the gravitational field and the nature of singularities in Gowdy spacetimes," Ann. Phys. (N.Y.) 199, 84-122 (1990).
6. P. T. Chruściel, "On uniqueness in the large of solutions of Einstein's equations ('Strong Cosmic Censorship')," Proceedings of the Centre for Mathematical Analysis, Australian National University (Canberra) 27, ANU (1991).
7. S. Kichenassamy and A. D. Rendall, "Analytic description of singularities in Gowdy spacetimes," Class. Quantum Grav. 15, 1339-1355 (1998).
8. M. Weaver, J. Isenberg, and B. K. Berger, "Mixmaster behavior in inhomogeneous cosmological spacetimes," Phys. Rev. Lett. 80, 2984-2987 (1998).
9. D. Eardley, E. Liang, and R. Sachs, "Velocity-dominated singularities in irrotational dust cosmologies," J. Math. Phys. 13, 99-106 (1972).
10. D. Hobill, A. Burd, and A. Cohen, Deterministic Chaos in General Relativity (Plenum, New York, 1994).
11. P. T. Chruściel, J. Isenberg, and V. Moncrief, "Strong cosmic censorship in polarized Gowdy spacetimes," Class. Quantum Grav. 7, 1671-1680 (1990).
12. B. K. Berger and V. Moncrief, "Numerical investigation of cosmological singularities," Phys. Rev. D 48, 4676-4687 (1994).
13. B. K. Berger and V. Moncrief, "Numerical evidence for velocity-dominated singularities in polarized U(1)-symmetric cosmologies," unpublished.
14. S. Kichenassamy, "The blow-up problem for exponential nonlinearities," Comm. PDE 21(1&2), 125-162 (1996).
15. S. Kichenassamy, "WTC expansions and non-integrable equations," to appear in Stud. Appl. Math. (1999).
16. P. T. Chruściel, "On space-times with U/(1)×U(1) symmetric compact Cauchy horizons," Ann. Phys. (N.Y.) 202, 100-150 (1990).
17. 2 isometry," Ann. Phys. (N.Y.) 260, 117-148 (1997).
18. A. D. Rendall, "Existence of constant mean curvature foliations in space-times with two-dimensional local symmetry," Commun. Math. Phys. 189, 145-164 (1997).
19. S. Kichenassamy, Nonlinear Wave Equations (Dekker, New York, 1996).
20. S. Kichenassamy and G. K. Srinivasan, "The structure of WTC expansions and applications," J. Phys. A 28, 1977-2004 (1995).
21. S. Kichenassamy, "Fuchsian equations in Sobolev spaces and blow-up," J. Diff. Eqns. 125, 299-327 (1996).
22. R. H. Gowdy, "Vacuum spacetimes and compact invariant hypersurfaces: topologies and boundary conditions," Ann. Phys. (N.Y.) 83, 203-241 (1974).
23. 2-orbits, hits zero.
24. J. Isenberg and M. Weaver, unpublished.