Causal perturbation theory in general FRW cosmologies: Energy-momentum conservation and matching conditions

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 67, Issue 8, 2003, Pages

  Amery, G ^a,b   Shellard, E P S ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITY OF KWAZULU NATAL   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION; ARTICLE; COSMOS; DENSITY; ENERGY; MATHEMATICAL ANALYSIS; PHASE TRANSITION; PHENOMENOLOGY; PHYSICS; SPACE; THEORY;

EID: 7544243706     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.67.083502     Document Type: Article

References (57)

1. A. Vilenkin and E.P.S. Shellard, Cosmic Strings and other Topological Defects (Cambridge University Press, Cambridge, England, 2000).
2. B. Allen, R.R. Caldwell, E.P.S. Shellard, A. Stebbins, and S. Veeraraghavan, Phys. Rev. Lett. 77, 3061 (1996).
3. B. Allen, R.R. Caldwell, S. Dodelson, L. Knox, E.P.S. Shellard, and A. Stebbins, Phys. Rev. Lett. 79, 2624 (1997).
4. P.P. Avelino, E.P.S. Shellard, J.H.P. Wu, and B. Allen, Phys. Rev. Lett. 81, 2008 (1998).
5. U.L. Pen, D.N. Spergel, and N. Turok, Phys. Rev. D 49, 692 (1994).
6. U.L. Pen, U. Seljak, and N. Turok, Phys. Rev. Lett. 79, 1611 (1997).
7. R. Durrer, M. Kunz, C. Lineweaver, and M. Sakellariadou, Phys. Rev. Lett. 79, 5198 (1997)
8. R. Durrer, M. Kunz, and A. Melchiorri, Phys. Rev. D 59, 123005 (1999)
9. R. Durrer, M. Kunz, and A. Melchiorri, Phys. Rep. 364, 1 (2002).
10. A. Albrecht, R.A. Battye, and J. Robinson, Phys. Rev. Lett. 79, 4736 (1997)
11. Phys. Rev. Lett.R.A. Battye, J. Robinson, and A. Albrecht, 80, 4847 (1998).
12. C. Contaldi, M. Hindmarsh, and J. Magueijo, Phys. Rev. Lett. 82, 2034 (1999)
13. L. Pogosian and T. Vachaspati, Phys. Rev. D 60, 083504 (1999).
14. L. Pogosian, Int. J. Mod. Phys. A 16S1C, 1043 (2001).
15. See, for example, A.H. Jaffe, Phys. Rev. Lett. 86, 3475 (2001)
16. S. Hanany, Astrophys. J. Lett. 545, L5 (2000)
17. J.L. Sievers, astro-ph/0205387
18. P.F. Scott, astro-ph/0205380.
19. See, for example, M. Bucher, K. Moodley, and N. Turok, Phys. Rev. Lett. 87, 191301 (2001).
20. F.R. Bouchet, P. Peter, A. Riazuelo, and M. Sakellariadou, Phys. Rev. D 65, 021301(R) (2002).
21. C.R. Contaldi, astro-ph/0005115.
22. A. Linde, Phys. Rev. D 49, 748 (1994).
23. See, for example, R. Jeannerot, Phys. Rev. D 56, 6205 (1997).
24. I. Tkachev, S. Khlebnikov, L. Kofman, and A. Linde, Phys. Lett. B 440, 262 (1998).
25. See, for example, A. Strominger, J. High Energy Phys. 11, 049 (2001).
26. N. Turok, Phys. Rev. D 54, 3686 (1996)
27. N. Turok, Phys. Rev. Lett. 77, 4138 (1996)
28. C. Cheung and J. Magueijo, Phys. Rev. D 57, 3285 (1998).
29. See, for example, A. Gangui, L. Pogosian, and S. Winitzki, astro-ph/0112145.
30. See, for example, D.N. Spergel and M. Zaldarriaga, Phys. Rev. Lett. 79, 2180 (1997).
31. P.P. Avelino, E.P.S. Shellard, J.H.P. Wu, and B. Allen, Astrophys. J. Lett. 507, L101 (1998).
32. S. Veeraraghavan and A. Stebbins, Astrophys. J. 365, 37 (1990).
33. N. Deruelle, J. Katz, and J.P. Uzan, Class. Quantum Grav. 14, 421 (1997)
34. N. Deruelle, D. Langlois, and J.P. Uzan, Phys. Rev. D 56, 7608 (1997)
35. Phys. Rev. DN. Deruelle and V.F. Mukhanov, 52, 5549 (1995)
36. N. Deruelle and J.P. Uzan, Int. J. Theor. Phys. 36, 2461 (1997)
37. J.P. Uzan, N. Dereulle, and A. Riazuelo, astro-ph/9810313 (1998).
38. J. Traschen, Phys. Rev. D 29, 1563 (1984)
39. Phys. Rev. DJ. Traschen31, 283 (1985)
40. Phys. Rev. DJ. Traschen and D.M. Eardley, 34, 1665 (1986)
41. L.F. Abbott and J. Traschen, Astrophys. J. 302, 39 (1986).
42. L.D. Landau and E.M. Lifshitz, The Classical Theory of Fields: Course of Theoretical Physics, Vol 2, 4th revised English ed. (Butterworth and Heinemann, Oxford, 1975), p. 280.
43. J.P. Uzan, N. Deruelle, and N. Turok, Phys. Rev. D 57, 7192 (1998).
44. S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972).
45. F. De Felice and C.J.S. Clarke, Relativity on Curved Manifolds (Cambridge University Press, Cambridge, England, 1990), p. 201.
46. R.M. Wald, General Relativity (University of Chicago Press, Chicago, 1984), p. 292.
47. J. Katz, J. Bicak, and D. Lynden-Bell, Phys. Rev. D 55, 5957 (1997).
48. E.R. Harrison, Rev. Mod. Phys. 39, 862 (1967)
49. L.F. Abbott and R.K. Schaefer, Astrophys. J. 308, 546 (1986)
50. W. Hu, D.N. Spergel, and M. White, Phys. Rev. D 55, 3288 (1997)
51. Phys. Rev. DW. Hu, U. Seljak, M. White, and M. Zaldarriaga, 57, 3290 (1998)
52. Phys. Rev. DW. Hu and M. White, 56, 596 (1997).
53. E.M. Lifshitz and I.M. Khalatnikov, Adv. Phys. 12, 185 (1963).
54. G. Amery and E.P.S. Shellard (in preparation).
55. R. Maartens and S.D. Maharaj, Class. Quantum Grav. 3, 1005 (1986).
56. G. Amery and S.D. Maharaj, Int. J. Mod. Phys. D 11, 337 (2002).
57. G. Amery and E.P.S. Shellard, “Causal perturbation theory in general FRW cosmologies II: superhorizon behaviour and initial conditions,” DAMTP report (2002), astro-ph/0208413.