On the road to discovery of relic gravitational waves: The TE and BB correlations in the cosmic microwave background radiation

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 79, Issue 2, 2009, Pages

  Zhao, W ^a,b,c   Baskaran, D ^a,b   Grishchuk, L P ^a,d  

^a CARDIFF UNIVERSITY   (United Kingdom)

^b Wales Institute of Mathematical and Computational Sciences   (United Kingdom)

^c ZHEJIANG UNIVERSITY OF TECHNOLOGY   (China)

^d MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 60349132101     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.79.023002     Document Type: Article

References (83)

1. L.P. Grishchuk, Zh. Eksp. Teor. Fiz. 67, 825 (1974) ZETFA7 0044-4510
2. [L.P. Grishchuk Sov. Phys. JETP SPHJAR 0038-5646 40, 409 (1975)];
3. L.P. Grishchuk Ann. N.Y. Acad. Sci. ANYAA9 0077-8923 302, 439 (1977); 10.1111/j.1749-6632.1977.tb37064.x
4. L.P. Grishchuk Pis'ma Zh. Eksp. Teor. Fiz. PZETAB 0370-274X 23, 326 (1976)
5. [L.P. Grishchuk JETP Lett. JTPLA2 0021-3640 23, 293 (1976)];
6. L.P. Grishchuk Usp. Fiz. Nauk UFNAAG 0042-1294 121, 629 (1977)
7. [L.P. Grishchuk Sov. Phys. Usp. SOPUAP 0038-5670 20, 319 (1977)]. 10.1070/PU1977v020n04ABEH005327
8. L.P. Grishchuk, Discovering Relic Gravitational Waves in Cosmic Microwave Background Radiation, chapter in the " Wheeler Book, " edited by, I. Ciufolini, and, R. Matzner, (Springer, New York, to be published), arXiv:0707.3319.
9. D. Baskaran, L.P. Grishchuk, and A.G. Polnarev, Phys. Rev. D PRVDAQ 1550-7998 74, 083008 (2006). 10.1103/PhysRevD.74.083008
10. E. Komatsu, arXiv:0803.0547.
11. N.L. Johnson and S. Kotz, Distributions in Statistics: Continuous Multivariate Distributions (John Wiley and Sons, New York, 1972).
12. B.V. Gnednko, The Theory of Probability (Chelsea, New York, 1962).
13. C.-P. Ma and E. Bertschinger, Astrophys. J. 455, 7 (1995). ASJOAB 0004-637X 10.1086/176550
14. M. Zaldarriaga and U. Seljak, Phys. Rev. D PRVDAQ 0556-2821 55, 1830 (1997). 10.1103/PhysRevD.55.1830
15. L.D. Landau and E.M. Lifshitz, The Classical Theory of Fields (Pergamon Press, Oxford, 1975), 4th Revised English Edition.
16. M. Kamionkowski, A. Kosowsky, and A. Stebbins, Phys. Rev. D PRVDAQ 0556-2821 55, 7368 (1997). 10.1103/PhysRevD.55.7368
17. A.G. Polnarev, Sov. Astron. 29, 607 (1985). SAAJAN 0038-5301
18. M. White, Phys. Rev. D PRVDAQ 0556-2821 46, 4198 (1992). 10.1103/PhysRevD.46.4198
19. L.M. Krauss and M. White, Phys. Rev. Lett. 69, 869 (1992). PRLTAO 0031-9007 10.1103/PhysRevLett.69.869
20. R. Crittenden, J.R. Bond, R.L. Davis, G. Efstathiou, and P.J. Steinhardt, Phys. Rev. Lett. 71, 324 (1993). PRLTAO 0031-9007 10.1103/PhysRevLett.71.324
21. L.P. Grishchuk, Phys. Rev. D PRVDAQ 0556-2821 48, 3513 (1993); 10.1103/PhysRevD.48.3513
22. L.P. Grishchuk Phys. Rev. Lett. 70, 2371 (1993). PRLTAO 0031-9007 10.1103/PhysRevLett.70.2371
23. R.A. Frewin, A.G. Polnarev, and P. Coles, Mon. Not. R. Astron. Soc. 266, L21 (1994). MNRAA4 0035-8711
24. W. Hu and N. Sugiyama, Astrophys. J. 444, 489 (1995). ASJOAB 0004-637X 10.1086/175624
25. M. Zaldarriaga and D.D. Harari, Phys. Rev. D PRVDAQ 0556-2821 52, 3276 (1995). 10.1103/PhysRevD.52.3276
26. S. Bose and L.P. Grishchuk, Phys. Rev. D PRVDAQ 0556-2821 66, 043529 (2002). 10.1103/PhysRevD.66.043529
27. J.R. Pritchard and M. Kamionkowski, Ann. Phys. (N.Y.) 318, 2 (2005). APNYA6 0003-4916 10.1016/j.aop.2005.03.005
28. B.G. Keating, Int. J. Mod. Phys. A 21, 2459 (2006). IMPAEF 0217-751X 10.1142/S0217751X06033076
29. W. Zhao and Y. Zhang, Phys. Rev. D PRVDAQ 1550-7998 74, 083006 (2006). 10.1103/PhysRevD.74.083006
30. R. Flauger and S. Weinberg, Phys. Rev. D PRVDAQ 1550-7998 75, 123505 (2007). 10.1103/PhysRevD.75.123505
31. D.M. Brink and G.R. Satchler, Angular Momentum (Clarendon Press, Oxford, 1968).
32. U. Seljak and M. Zaldarriaga, Phys. Rev. Lett. 78, 2054 (1997). PRLTAO 0031-9007 10.1103/PhysRevLett.78.2054
33. M. Kamionkowski, A. Kosowsky, and A. Stebbins, Phys. Rev. Lett. 78, 2058 (1997). PRLTAO 0031-9007 10.1103/PhysRevLett.78.2058
34. A. Lue, L. Wang, and M. Kamionkowski, Phys. Rev. Lett. 83, 1506 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.83.1506
35. T. Kahniashvili, G. Gogoberidze, and B. Ratra, Phys. Rev. Lett. 100, 231301 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.231301
36. L. Knox, Phys. Rev. D PRVDAQ 0556-2821 52, 4307 (1995). 10.1103/PhysRevD.52.4307
37. L.P. Grishchuk and J. Martin, Phys. Rev. D PRVDAQ 0556-2821 56, 1924 (1997). 10.1103/PhysRevD.56.1924
38. D.J. Mortlock, A.D. Challinor, and M.P. Hobson, Mon. Not. R. Astron. Soc. 330, 405 (2002). MNRAA4 0035-8711 10.1046/j.1365-8711.2002.05085.x
39. A. Lewis, A. Challinor, and N. Turok, Phys. Rev. D PRVDAQ 0556-2821 65, 023505 (2001). 10.1103/PhysRevD.65.023505
40. L. Perotto, J. Cosmol. Astropart. Phys. 1475-7516 10 (2006) 013. 10.1088/1475-7516/2006/10/013
41. A.G. Polnarev, N.J. Miller, and B.G. Keating, Mon. Not. R. Astron. Soc. 386, 1053 (2008); MNRAA4 0035-8711 10.1111/j.1365-2966.2008.13101.x
42. N.J. Miller, A.G.Polnarev, and B.G. Keating, arXiv:0710.3651.
43. I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series and Products (Academic Press, New York, 1965).
44. J. Dunkley, arXiv:0803.0586.
45. M.S. Turner and M. White, Phys. Rev. D PRVDAQ 0556-2821 53, 6822 (1996). 10.1103/PhysRevD.53.6822
46. U. Seljak and M. Zaldarriaga, Astrophys. J. 469, 437 (1996). ASJOAB 0004-637X 10.1086/177793
47. A. Lewis, A. Challinor, and A. Lasenby, Astrophys. J. 538, 473 (2000). ASJOAB 0004-637X 10.1086/309179
48. L.P. Grishchuk, Phys. Rev. D PRVDAQ 0556-2821 50, 7154 (1994). 10.1103/PhysRevD.50.7154
49. Legacy Archive for Microwave Background Data, http://lambda.gsfc.nasa. gov/product/map/current/.
50. L. Page, Astrophys. J. Suppl. Ser. 170, 335 (2007). APJSA2 0067-0049 10.1086/513699
51. L. Page, Astrophys. J. Suppl. Ser. 148, 39 (2003). APJSA2 0067-0049 10.1086/377223
52. Planck Collaboration, arXiv:astro-ph/0604069.
53. A. Kogut, Astrophys. J. Suppl. Ser. 148, 161 (2003). APJSA2 0067-0049 10.1086/377219
54. G. Hinshaw, arXiv:0803.0732.
55. M.R. Nolta, arXiv:0803.0593.
56. A. Lewis, Phys. Rev. D PRVDAQ 1550-7998 78, 023002 (2008). 10.1103/PhysRevD.78.023002
57. S. Hamimeche and A. Lewis, Phys. Rev. D PRVDAQ 1550-7998 77, 103013 (2008). 10.1103/PhysRevD.77.103013
58. L. Verde, Astrophys. J. Suppl. Ser. 148, 195 (2003). APJSA2 0067-0049 10.1086/377335
59. E. Komatsu, Astrophys. J. Suppl. Ser. 148, 119 (2003). APJSA2 0067-0049 10.1086/377220
60. B. Gold, arXiv:0803.0715.
61. L.A. Page, in Critical Dialogues in Cosmology, edited by, N. Turok, (World Science, Singapore, 1997).
62. J.R. Bond, A.H. Jaffe, and L.E. Knox, Astrophys. J. 533, 19 (2000). ASJOAB 0004-637X 10.1086/308625
63. S. Podariu, Astrophys. J. 559, 9 (2001). ASJOAB 0004-637X 10.1086/322409
64. J.R. Green and D. Margerison, Statistical Treatment of Experimental Data (Elsevier Scientific Publishing Company, New York, 1977).
65. A. Lewis and S. Bridle, Phys. Rev. D PRVDAQ 0556-2821 66, 103511 (2002). 10.1103/PhysRevD.66.103511
66. D.N. Spergel, Astrophys. J. Suppl. Ser. 170, 377 (2007). APJSA2 0067-0049 10.1086/513700
67. A. Amblard, A. Cooray, and M. Kaplinghat, Phys. Rev. D PRVDAQ 1550-7998 75, 083508 (2007). 10.1103/PhysRevD.75.083508
68. M. Shimon, B. Keating, N. Ponthieu, and E. Hivon, Phys. Rev. D PRVDAQ 1550-7998 77, 083003 (2008). 10.1103/PhysRevD.77.083003
69. A. Lewis and A. Challinor, Phys. Rep. 429, 1 (2006). PRPLCM 0370-1573 10.1016/j.physrep.2006.03.002
70. R.G. Crittenden, D. Coulson, and N.G. Turok, Phys. Rev. D PRVDAQ 0556-2821 52, R5402 (1995). 10.1103/PhysRevD.52.R5402
71. A. Melchiorri and C.J. Odman, Phys. Rev. D PRVDAQ 0556-2821 67, 021501(R) (2003). 10.1103/PhysRevD.67.021501
72. A. Stuart, J.K. Ord, and S. Arnold, Kendall's Advanced Theory of Statistics (Arnold, London, 1999), Vol. 2A.
73. M. Tegmark, A. Taylor, and A. Heavens, Astrophys. J. 480, 22 (1997). ASJOAB 0004-637X 10.1086/303939
74. A.H. Jaffe, M. Kamionkowski, and L. Wang, Phys. Rev. D PRVDAQ 0556-2821 61, 083501 (2000). 10.1103/PhysRevD.61.083501
75. X. Fan, C.L. Carilli, and B. Keating, Annu. Rev. Astron. Astrophys. ARAAAJ 0066-4146 44, 415 (2006). 10.1146/annurev.astro.44.051905.092514
76. P. Oxley, Proc. SPIE Int. Soc. Opt. Eng. PSISDG 0277-786X 5543, 320 (2004). 10.1117/12.563447
77. B.P. Crill, arXiv:0807.1548.
78. B.G. Keating, in Polarimetry in Astronomy, edited by, Silvano Fineschi,, Proceedings of the SPIE, Vol. 4843 (2003).
79. C. Pryke (QUaD Collaboration), arXiv:0805.1944.
80. A.C. Taylor (Clover Collaboration), New Astron. Rev. 50, 993 (2006). NAREF9 1387-6473 10.1016/j.newar.2006.09.026
81. D. Samtleben, arXiv:0806.4334.
82. L.P. Grishchuk, Phys. Rev. D PRVDAQ 0556-2821 53, 6784 (1996). 10.1103/PhysRevD.53.6784
83. D.S. Sivia, Data Analysis, A Bayesian Tutorial (Oxford University Press, Oxford, 1996).