Post-Newtonian cosmological dynamics in Lagrangian coordinates

Monthly Notices of the Royal Astronomical Society

Volumn 283, Issue 2, 1996, Pages 400-418

  Matarrese, Sabino ^a   Terranova, David ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

Cosmology: theory; Gravitation; Hydrodynamics; Instabilities; Largescale structure of universe

Indexed keywords

COSMOLOGY; FLOW OF FLUIDS; GRAVITATIONAL EFFECTS; GRAVITY WAVES; INVERSE PROBLEMS; JACOBIAN MATRICES; LAGRANGE MULTIPLIERS; STOCHASTIC SYSTEMS;

COSMOLOGY: THEORY; IRROTATIONAL; LAGRANGIAN; LAGRANGIAN COORDINATE; LARGE SCALE STRUCTURE OF UNIVERSE; METRIC TENSOR; NEWTONIANS; NON LINEAR; NON-LINEAR DYNAMICS; RELATIVISTICS;

TENSORS;

EID: 0000426891     PISSN: 00358711     EISSN: None     Source Type: Journal    
DOI: 10.1093/mnras/283.2.400     Document Type: Article

References (67)

1. Arnowitt R., Deser S., Misner C. W., 1962, in Witten L., ed., Gravitation: an Introduction to Current Research. Wiley, New York
2. Bardeen J., 1980, Phys. Rev. D, 22, 1882
3. Barnes A., Rowlingson R. R., 1989, Classical Quantum Gravity, 6, 949
4. Bertschinger E., Dekel A., 1989, ApJ, 336, L5
5. Bertschinger E., Jain B., 1994, ApJ, 431, 486
6. Bertschinger E., Hamilton A., 1994, ApJ, 435, 1
7. Bouchet F. R., Juszkiewicz R., Colombi S., Pellat R., 1992, ApJ, 394, L5
8. Bruni M., Matarrese S., Pantano O., 1995a, ApJ, 445, 958
9. Bruni M., Matarrese S., Pantano O., 1995b, Phys. Rev. Lett., 74, 11
10. Buchert, T., 1989, A&A, 223, 9
11. Buchert, T., 1992, MNRAS, 254, 729
12. Buchert, T., 1994, MNRAS, 267, 811
13. Buchert, T., 1995, in Bonometto S., Primack J., Provenzale A., eds, Proc. Enrico Fermi School, Course CXXXII, Dark Matter in the Universe, Varenna 1995. Preprint astro-ph/9509005
14. Buchert, T., Götz G., 1987, J. Math. Phys., 28, 2714
15. Catelan P., 1995, MNRAS, 276, 115
16. Catelan P., Lucchin F., Matarrese S., Moscardini L., 1995, MNRAS, 276, 39
17. Coles P., Lucchin F., 1995, Cosmology: The Origin and Evolution of Cosmic Structure. Wiley, Chichester
18. Coles P., Melott A. L., Shandarin S., 1993, MNRAS, 260, 765
19. Croudace K. M., Parry J., Salopek D. S., Stewart J. M., 1994, ApJ, 431, 22
20. Ehlers J., 1993, Gen. Relativ. Gravitation, 25, 1225
21. Ellis G. F. R., 1971, in Sachs R. K., ed., General Relativity and Cosmology. Academic Press, New York, p. 104-182
22. Ellis G. F. R., 1984, in Bertotti B., de Felice F., Pascolini A., eds, General Relativity and Gravitation. Reidel, Dordrecht, p. 215-288
23. Ellis G. F. R., 1990, MNRAS, 243, 509
24. Futamase T., 1988, Phys. Rev. Lett., 61, 2175
25. Futamase T., 1989, MNRAS, 237, 187
26. Futamase T., 1991, Prog. Theor. Phys., 86, 389
27. Hawking S. W., Moss I. G., 1982, Phys. Lett. B, 110, 35
28. Hui L., Bertschinger E., 1995, preprint astro-ph/9508114
29. Hwang J.-C, 1994, ApJ, 427, 533
30. Kasai M., 1992, Phys. Rev. Lett., 69, 2330
31. Kasai M., 1993, Phys. Rev. D, 47, 3214
32. Kasai M., 1995, Phys. Rev. D, 52, 5605
33. Kellogg O., 1953, Foundations of Potential Theory. Dover, New York
34. Kodama H., Sasaki M., 1994, Prog. Theor. Phys. Suppl., 78, 1
35. Kofman L., Pogosyan D., 1995, ApJ, 442, 30
36. Kofman L., Bertschinger E., Gelb M. J., Nusser A., Dekel A., 1994, ApJ, 420, 44
37. Icke V., 1973, A&A, 27, 1
38. Lachièze-Rey M., 1993, ApJ, 408, 403
39. Landau L. D., Lifshitz E. M., 1980, The Classical Theory of Fields. Pergamon Press, Oxford
40. Lesame W. M., Dunsby P. K. S., Ellis G. F. R., 1995, Phys. Rev. D, 52, 3406
41. Lesame W. M., Ellis G. F. R., Dunsby P. K. S., 1996, Phys. Rev. D, 53, 738
42. Lin C. C., Mestel L., Shu F. H., 1965, ApJ, 142, 1431
43. Lynden-Bell D., 1962, Proc. Cambridge Phil. Soc., 58, 709
44. Matarrese S., Pantano O., Saez D., 1993, Phys. Rev. D, 47, 1311
45. Matarrese S., Pantano O., Saez D., 1994a, Phys. Rev. Lett., 72, 320
46. Matarrese S., Pantano O., Saez D., 1994b, MNRAS, 271, 513
47. Moutarde F., Alimi J.-M., Bouchet F. R., Pellat R., Ramani A., 1991, ApJ, 382, 377
48. Munshi D., Sahni V., Starobinsky A. A., 1994, ApJ, 436, 517
49. Nusser A., Dekel A., 1992, ApJ, 391, 443
50. Parry J., Salopek D. S., Stewart J. M., 1994, Phys. Rev, D, 49, 2872
51. Peebles P. J. E., 1980, The Large-Scale Structure of the Universe. Princeton Univ. Press, Princeton
52. Peebles P. J. E., 1993, Principles of Physical Cosmology. Princeton Univ. Press, Princeton
53. Pyne T., Carroll S. M., 1995, preprint astro-ph/9510041
54. Raychaudhuri A. K., 1957, Z. Astrophys., 43, 161
55. Rees M., Sciama D. W., 1968, Nat, 217, 511
56. Salopek D. S., Stewart J. M., Croudace K. M., 1994, MNRAS, 271, 1005
57. Schneider P., Ehlers J., Falco E. E., 1992, Gravitational Lenses. Springer-Verlag, Berlin
58. Shandarin S. F., Melott A. L., McDavitt K., Pauls J. L., Tinker J., 1995, Phys. Rev. Lett., 75, 1
59. Shibata M., Asada H., 1995, Prog. Theor. Phys., 94, 11
60. Szekeres P., 1975, Comm. Math. Phys., 41, 55
61. Thorne K. S., 1995, in Kolb E. W., Peccei R., eds, Proc. Snowmass 95 Summer Study on Particle and Nuclear Astrophysics and Cosmology. World Scientific, Singapore, preprint gr-qc/ 9506086
62. Tomita K., 1967, Prog. Theor. Phys., 37, 831
63. Tomita K., 1988, Prog. Theor. Phys., 79, 258
64. Tomita K., 1991, Prog. Theor. Phys., 85, 1041
65. Weinberg S., 1972, Gravitation and Cosmology. Wiley, New York
66. White S. D. M., Silk J., 1979, ApJ, 231, 1
67. Zel'dovich Ya. B., 1970, A&A, 5, 84