Future asymptotics of tilted Bianchi type II cosmologies

Classical and Quantum Gravity

Volumn 27, Issue 18, 2010, Pages

  Hervik, Sigbjørn ^a   Lim, Woei Chet ^b   Sandin, Patrik ^c   Uggla, Claes ^c  

^a UNIVERSITY OF STAVANGER   (Norway)

^b ALBERT EINSTEIN INSTITUT   (Germany)

^c KARLSTAD UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78649602774     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/27/18/185006     Document Type: Article

References (38)

1. Wainwright J and Ellis G F R 1997 Dynamical Systems in Cosmology (Cambridge: Cambridge University Press)
2. King A R and Ellis G F R 1973 Tilted homogeneous cosmological models Commun. Math. Phys. 31 209
3. Hewitt C G 1991 An exact tilted Bianchi II cosmology Class. Quantum Grav. 8 L109
4. Hewitt C G and Wainwright J 1992 Dynamical systems approach to titled Bianchi cosmologies: irrotational models of type V Phys. Rev. D 46 4242
5. Harnett D 1996 Tilted Bianchi type V cosmologies with vorticity Master's Thesis University of Waterloo
6. Hewitt C G, Bridson R and Wainwright J 2001 The asymptotic regimes of tilted Bianchi II cosmologies Gen. Rel. Grav. 33 65
7. Hervik S 2004 The asymptotic behaviour of tilted Bianchi type VI0 universes Class. Quantum Grav. 21 2301
8. Coley A A and Hervik S 2004 Bianchi cosmologies: a tale of two tilted fluids Class. Quantum Grav. 21 4193
9. Hervik S, van den Hoogen R J and Coley A A 2005 Future asymptotic behaviour of tilted Bianchi models of type IV and VIIh Class. Quantum Grav. 22 607
10. Coley A A and Hervik S 2005 A dynamical systems approach to the tilted Bianchi models of solvable type Class. Quantum Grav. 22 579
11. Hervik S, van den Hoogen R J, Lim W C and Coley A A 2006 The futures of Bianchi type VII0 cosmologies with vorticity Class. Quantum Grav. 23 845
12. Hervik S and Lim W C 2006 The late time behaviour of vortic Bianchi type VIII universes Class. Quantum Grav. 23 3017
13. Hervik S, van den Hoogen R J, Lim W C and Coley A A 2007 Late-time behaviour of the tilted Bianchi type VIh models Class. Quantum Grav. 24 3859
14. Hervik S, van den Hoogen R J, Lim W C and Coley A A 2008 Late-time behaviour of the tilted Bianchi type VI-1/9 models Class. Quantum Grav. 25 015002
15. Coley A A and Hervik S 2008 Bianchi models with vorticity: the type III bifurcation Class. Quantum Grav. 25 198001
16. Heinzle J M and Uggla C 2010 Monotonic functions in Bianchi models: why they exist and how to find them Class. Quantum Grav. 27 015009
17. Sandin P and Uggla C 2010 Perfect fluids and generic spacelike singularities Class. Quantum Grav. 27 025013
18. 0 cosmologies Class. Quantum Grav. 12 513
19. Collins C B and Stewart J M 1971 Qualitative cosmology Mon. Not. R. Astron. Soc. 153 419
20. Crawford J D 1991 Introduction to bifurcation theory Rev. Mod. Phys. 63-64 991
21. Heinzle J M, Uggla C and Röhr N 2009 The cosmological billiard attractor Adv. Theor. Math. Phys. 13 293
22. Heinzle J M and Uggla C 2009 A new proof of the Bianchi type IX attractor theorem Class. Quantum Grav. 26 075015
23. Heinzle J M and Uggla C 2009 Mixmaster: fact and belief Class. Quantum Grav. 26 075016
24. Hewitt C G 1991 Algebraic invariant curves in cosmological dynamical systems and exact solutions Gen. Rel. Grav. 23 1363
25. Hewitt C G, Horwood J T andWainwright J 2003 Asymptotic dynamics of the exceptional Bianchi cosmologies Class. Quantum Grav. 20 1743
26. Ellis G F R and MacCallum M A H 1969 A class of homogeneous cosmological models Commun. Math. Phys. 12 108
27. Jantzen R T 1984 Spatially homogeneous dynamics: a unified picture Cosmology of the Early Universe ed R Ruffini and L Z Fang (Singapore: World Scientific)
28. Jantzen R T 1987 Gamow Cosmology ed R Ruffini and F Melchiorri (Amsterdam: North-Holland) (arXiv:gr-qc/0102035)
29. Estabrook F B, Wahlquist H D and Behr C G 1968 Dyadic analysis of spatially homogeneous world models J. Math. Phys. 9 497
30. Ellis G F R and van Elst H 1999 Cosmological models Theoretical and Observational Cosmology ed M Lachièze-Rey (Dordrecht: Kluwer) p 1 (arXiv:gr-qc/9812046)
31. Jantzen R T 1983 Perfect fluid sources for spatially homogeneous spacetimes Ann. Phys. 145 378
32. Taub A H 1969 Stability of fluid motions and variational principles Proc. 1967 Colloque on Fluids et Champ Gravitationel en Relatvité Générale vol 170 (Paris: Centre National de la Recherche Scientifique) p 57
33. van Elst H and Uggla C 1997 General relativistic 1+3 orthonormal frame approach revisited Class. Quantum Grav. 14 2673
34. RöhrNand Uggla C 2005 Conformal regularization of Einstein's field equations Class. Quantum Grav. 22 3775
35. Wainwright J and Hsu L 1989 A dynamical systems approach to Bianchi cosmologies: orthogonal models of class A Class. Quantum Grav. 6 1409
36. Collins C B 1971 More qualitative cosmology Commun. Math. Phys. 23 137
37. Uggla C, Jantzen R T and Rosquist K 1995 Exact hypersurface-homogeneous solutions in cosmology and astrophysics Phys. Rev. D 51 5522
38. Damour T, Henneaux M and Nicolai H 2003 Cosmological billiards Class. Quantum Grav. 20 R145