The initial singularity in solutions of the Einstein-Vlasov system of Bianchi type I

Journal of Mathematical Physics

Volumn 37, Issue 1, 1996, Pages 438-451

  Rendall, Alan D ^a  

^a INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030559129     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531400     Document Type: Article

References (19)

1. R. M. Wald, General Relativity (Chicago University Press, Chicago, 1984).
2. K. C. Jacobs, "Spacially homogeneous and Eucliden cosmological models with shear," Astrophys. J. 153, 661 (1968).
3. C. B. Collins, "More qualitative cosmology," Commun. Math. Phys. 23, 137-158 (1971).
4. A. A. Coley and J. Wainwright, "Qualitative analysis of two-fluid Bianchi cosmologies," Class. Quantum Grav. 9, 651-665 (1992).
5. C. B. Collins, "Qualitative magnetic cosmology," Commun. Math. Phys. 27, 37-43 (1972).
6. 0 cosmologies," Classs. Quantum Grav. 12, 513-541 (1995).
7. A. D. Rendall, "Global properties of locally spatially homogeneous cosmological models with matter," preprint gr-qc/ 9409009 (to appear in Math. Proc. Cambridge Philos. Soc.).
8. V. N. Lukash and A. A. Starobinski, "The isotropization of the cosmological expansion owing to particle production," Sov. Phys. JETP 39, 742-747 (1974).
9. J. Ehlers, P. Geren, and R. K. Sachs, "Isotropic solutions of the Einstein-Liouville equations," J. Math. Phys. 9, 1344-1349 (1968).
10. G. Rein, "Cosmological solutions of the Vlasov-Einstein system with spherical, plane and hyperbolic symmetry," preprint gr-qc/9409041 (to appear in Math. Proc. Cambridge Philos. Soc.).
11. J. Ehlers, "Survey of general relativity theory," in Relativity, Astrophysics, and Cosmology, edited by W. Israel (Reidel, Dordrecht, 1973).
12. R. Maartens and S. D. Maharaj, "Collision-free gases in Bianchi spacetimes," Gen. Rel. Grav. 22, 595-607 (1990).
13. A. D. Rendall, "Cosmic censorship for some spatially homogeneous cosmological models," Ann. Phys. 233, 82-96 (1994).
14. P. Griffiths and J. Harris, Principles of Algebraic Geometry (Wiley, New York, 1978).
15. A. D. Rendall, "Cosmic censorship and the Vlasov equation," Class. Quantum Grav. 9, L99-L104 (1992).
16. P. Hartman, Ordinary Differential Equations (Birkhäuser, Boston, 1982).
17. J. Wainwright and L. Hsu, "A dynamical systems approach to Bianchi cosmologies: Orthogonal models of class A," Class. Quantum Grav. 6, 1409-1431 (1989).
18. R. P. A. C. Newman, "On the structure of conformal singularities in classical general relativity," Proc. R. Soc. London, Ser. A 443, 473-492; 443, 493-515 (1993).
19. R. P. A. C. Newman, "On the structure of conformal singularities in classical general relativity," Proc. R. Soc. London, Ser. A 443, 473-492; 443, 493-515 (1993).