Integrability of irrotational silent cosmological models

Classical and Quantum Gravity

Volumn 14, Issue 5, 1997, Pages 1151-1162

  Van Elst, Henk ^a   Uggla, Claes ^b,c   Lesame, William M ^d   Ellis, George F R ^e   Maartens, Roy ^f  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

^b STOCKHOLM UNIVERSITY   (Sweden)

^c LULEÅ UNIVERSITY OF TECHNOLOGY   (Sweden)

^d UNIVERSITY OF FORT HARE   (South Africa)

^e UNIVERSITY OF CAPE TOWN   (South Africa)

^f UNIVERSITY OF PORTSMOUTH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031490917     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/14/5/018     Document Type: Article

References (27)

1. Barnes A and Rowlingson R R 1989 Irrotational perfect fluids with a purely electric Weyl tensor Class. Quantum Gray. 6 949
2. Bertschinger E and Hamilton A J S 1994 Lagrangian evolution of the Weyl tensor Astrophys. J. 435 1
3. Bonilla M A G, Mars M, Senovilla J M M, Sopuerta C F and Vera R 1996 Comment on 'Integrability conditions for irrotational dust with a purely electric Weyl tensor' Phys. Rev. D 54 6565
4. Bruni M, Matarrese S and Pantano O 1995 Dynamics of silent universes Astrophys. J. 445 958
5. Bruni M, Matarrese S and Pantano O 1995 A local view of the observable universe 1995 Phys. Rev. Lett. 74 1916
6. Ehlers J and Buchen T 1997 On the Newtonian limit of the Weyl tensor Astron. Astrophys. at press
7. Ehlers J 1993 Contributions to the relativistic mechanics of continuous media Gen. Rel. Grav. 25 1225
8. Ellis G F R 1967 Dynamics of pressure-free matter in general relativity J. Math. Phys. 8 1171
9. Ellis G F R 1971 Relativistic cosmology General Relativity and Cosmology ed R K Sachs (New York: Academic)
10. Ellis G F R 1973 Relativistic cosmology Cargèse Lectures in Physics vol 6, ed E Schatzman (New York: Gordon and Breach)
11. Ellis G F R 1996 Cosmological models from a covariant viewpoint ICGC95 Proc. ed T Padmanabhan et al to appear
12. Ellis G F R and Bruni M 1989 Covariant and gauge-invariant approach to cosmological density fluctuations Phys. Rev. D 40 1804
13. Ellis G F R and Dunsby P K S 1997 Newtonian evolution of the Weyl tensor Astrophys. J. at press
14. Ellis G F R and MacCallum M A H 1969 A class of homogeneous cosmological models Commun. Math. Phys. 12 108
15. van Elst H 1996 Extensions and applications of 1 + 3 decomposition methods in general relativistic cosmological modelling PhD Thesis University of London
16. van Elst H and Ellis G F R 1996 The covariant approach to LRS perfect fluid spacetime geometries Class. Quantum Grav. 13 1099
17. van Elst H and Uggla C 1996 General relativistic 1 + 3 orthonormal frame approach Preprint
18. Goode S W and Wainwright J 1982 Singularities and evolution of the Szekeres cosmological models Phys. Rev. D 26 3315
19. Kramer D, Stephani H, MacCallum M A H and Herlt E 1980 Exact Solutions of Einstein's Field Equations (Cambridge: Cambridge University Press)
20. Lesame W M, Dunsby P K S and Ellis G F R 1995 Integrability conditions for irrotational dust with a purely electric Weyl tensor: a tetrad analysis Phys. Rev. D 52 3406
21. Maartens R 1997 Linearisation instability of gravity waves? Phys. Rev. D 55 463
22. Maartens R, Ellis G F R and Siklos S T C 1997 Local freedom in the gravitational field Class. Quantum Grav. at press
23. Maartens R, Lesame W M and Ellis G F R 1997 Consistency of dust solutions with div H = 0 Phys. Rev. D at press
24. Matarrese S, Pantano O and Saez D 1994 General relativistic dynamics of irrotational dust: cosmological implications Phys. Rev. Lett. 72 320
25. Szekeres P 1975 A class of inhomogeneous cosmological models Commun. Math. Phys. 41 56
26. Szekeres P 1996 A tetrad-free proof of Ellis' theorem on shear-free dust Preprint
27. Wainwright J and Ellis G F R (eds) 1996 Dynamical Systems in Cosmology (Cambridge: Cambridge University Press)