Testing gaussianity, homogeneity, and isotropy with the cosmic microwave background

Advances in Astronomy

Volumn 2010, Issue , 2010, Pages

  Abramo, L Raul ^a   Pereira, Thiago S ^b  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

^b SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78349292978     PISSN: 16877969     EISSN: 16877977     Source Type: Journal    
DOI: 10.1155/2010/378203     Document Type: Review

References (86)

1. Mukhanov V., Physical Foundations of Cosmology 2005 Cambridge, UK Cambridge University Press
2. Weinberg S., Cosmology 2008 Oxford, UK Oxford University Press
3. Peter P., Uzan J.-P., Primordial Cosmology 2009 Oxford, UK Oxford University Press
4. Hu W., Seljak U., White M., Zaldarriaga M., Complete treatment of CMB anisotropies in a FRW universe Physical Review D 1998 57 6 3290 3301
5. Hu W., CMB temperature and polarization anisotropy fundamentals Annals of Physics 2003 303 1 203 225
6. Dodelson S., Modern Cosmology 2003 Edinburg, UK Scottish Academic Press
7. Maldacena J. M., Non-gaussian features of primordial fluctuations in single field inflationary models Journal of High Energy Physics 2003 2003 05, article 013
8. Weinberg S., Quantum contributions to cosmological correlations Physical Review D 2005 72 4 19
9. Weinberg S., Quantum contributions to cosmological correlations. II. Can these corrections become large? Physical Review D 2006 74 2 5
10. Huffenberger K. M., Seljak U., Prospects for ACT: simulations, power spectrum, and non-Gaussian analysis New Astronomy 2005 10 6 491 515
11. Komatsu E., Dunkley J., Nolta M. R., Bennett C. L., Gold B., Hinshaw G., Jarosik N., Larson D., Limon M., Page L., Spergel D. N., Halpern M., Hill R. S., Kogut A., Meyer S. S., Tucker G. S., Weiland J. L., Wollack E., Wright R. L., Five-year wilkinson microwave anisotropy probe observations: cosmological interpretation Astrophysical Journal, Supplement Series 2009 180 2 330 376
12. Bernui A., Rebouas M. J., Searching for non-Gaussianity in the WMAP data Physical Review D 2009 79 6 11
13. Mukhanov V. F., Feldman H. A., Brandenberger R. H., Theory of cosmological perturbations Physics Report 1992 215 5-6 203 333
14. Hinshaw G., Weiland J. L., Hill R. S., Odegard N., Larson D., Bennett C. L., Dunkley J., Gold B., Greason M. R., Jarosik N., Komatsu E., Nolta M. R., Page L., Spergel D. N., Wollack E., Halpern M., Kogut A., Limon M., Meyer S. S., Tucker G. S., Wright E. L., Five-year wilkinson microwave anisotropy probe observations: data processing, sky maps and basic results The Astrophysical Journal, Supplement Series 2009 180 2 225 245
15. Tegmark M., Blanton M. R., Strauss M. A., Hoyle F., Schlegel D., Scoccimarro R., Vogeley M. S., Weinberg D. H., Zehavi I., Berlind A., Budavari T., Connolly A., Eisenstein D. J., Finkbeiner D., Frieman J. A., Gunn J. E., Hamilton A. J. S., Hui L., Jain B., Johnston D., Kent S., Lin H., Nakajima R., Nichol R. C., Ostriker J. P., Pope A., Scranton R., Seljak U., Sheth R. K., Stebbins A., Szalay A. S., Szapudi I., Verde L., Xu Y., Annis J., Bahcall N. A., Brinkmann J., Burles S., Castander F. J., Csabai I., Loveday J., Doi M., Fukugita M., Gott J. R. III, Hennessy G., Hogg D. W., Ivezi., Knapp G. R., Lamb D. Q., Lee B. C., Lupton R. H., McKay T. A., Kunszt P., Munn J. A., O'Connell L., Peoples J., Pier J. R., Richmond M., Rockosi C., Schneider D. P., Stoughton C., Tucker D. L., Vanden Berk D. E., Yanny B., York D. G., The three-dimensional power spectrum of galaxies from the sloan digital sky survey Astrophysical Journal 2004 606 2 702 740 (Pubitemid 38614718)
16. Cole S., Percival W. J., Peacock J. A., The 2dF Galaxy Redshift Survey: power-spectrum analysis of the final data set and cosmological implications Monthly Notices of the Royal Astronomical Society 2005 362 2 505 534
17. Perlmutter S., Aldering G., Goldhaber G., Knop R. A., Nugent P., Castro P. G., Deustua S., Fabbro S., Goobar A., Groom D. E., Hook I. M., Kim A. G., Kim M. Y., Lee J. C., Nunes N. J., Pain R., Pennypacker C. R., Quimby R., Lidman C., Ellis R. S., Irwin M., McMahon R. G., Ruiz-Lapuente P., Walton N., Schaefer B., Boyle B. J., Filippenko A. V., Matheson T., Fruchter A. S., Panagia N., Newberg H. J. M., Couch W. J., Measurements of and from 42 high-redshift supernovae Astrophysical Journal 1999 517 2 565 586
18. Riess A. G., Filippenko A. V., Challis P., Clocchiatti A., Diercks A., Garnavich P. M., Gilliland R. L., Hogan C. J., Jha S., Kirshner R. P., Leibundgut B., Phillips M. M., Reiss D., Schmidt B. P., Schommer R. A., Smith R. C., Spyromilio J., Stubbs C., Suntzeff N. B., Tonry J., Observational evidence from supernovae for an accelerating universe and a cosmological constant Astronomical Journal 1998 116 3 1009 1038
19. Wood-Vasey W. M., Miknaitis G., Stubbs C. W., Jha S., Riess A. G., Garnavich P. M., Kirshner R. P., Aguilera C., Becker A. C., Blackman J. W., Blondin S., Challis P., Clocchiatti A., Conley A., Covarrubias R., Davis T. M., Filippenko A. V., Foley R. J., Garg A., Hicken M., Krisciunas K., Leibundgut B., Li W., Matheson T., Miceli A., Narayan G., Pignata G., Prieto J. L., Rest A., Salvo M. E., Schmidt B. P., Smith R. C., Sollerman J., Spyromilio J., Tonry J. L., Suntzeff N. B., Zenteno A., Observational constraints on the nature of dark energy: first cosmological results from the essence supernova survey Astrophysical Journal 2007 666 2 694 715
20. Bennett C. L., Halpern M., Hinshaw G., Jarosik N., Kogut A., Limon M., Meyer S. S., Page L., Spergel D. N., Tucker G. S., Wollack E., Wright E. L., Barnes C., Greason M. R., Hill R. S., Komatsu E., Nolta M. R., Odegard N., Peiris H. V., Verde L., Weiland J. L., First-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: preliminary maps and basic results Astrophysical Journal, Supplement Series 2003 148 1 1 27 (Pubitemid 37395194)
21. Smoot G. F., Bennett C. L., Kogut A., Structure in the COBE differential microwave radiometer first-year maps Astrophysical Journal 1992 396 1 1 5
22. de Oliveira-Costa A., Tegmark M., Zaldarriaga M., Hamilton A., Significance of the largest scale CMB fluctuations in WMAP Physical Review D 2004 69 6 12
23. Copi C. J., Huterer D., Starkman G. D., Multipole vectors: a new representation of the CMB sky and evidence for statistical anisotropy or non-Gaussianity at 2≤ ≤8 Physical Review D 2004 70 4 13
24. Schwarz D. J., Starkman G. D., Huterer D., Copi C. J., Is the low- microwave background cosmic? Physical Review Letters 2004 93 22 4
25. Land K., Magueijo J., Examination of evidence for a preferred axis in the cosmic radiation anisotropy Physical Review Letters 2005 95 37 4
26. Copi C. J., Huterer D., Schwarz D. J., Starkman G. D., On the large-angle anomalies of the microwave sky Monthly Notices of the Royal Astronomical Society 2006 367 1 79 102
27. Tegmark M., de Oliveira-Costa A., Hamilton A. J. S., High resolution foreground cleaned CMB map from WMAP Physical Review D 2003 68 12 14
28. Abramo L. R., Bernui A., Pereira T. S., Searching for planar signatures in WMAP Journal of Cosmology and Astroparticle Physics 2009 2009 12, article 013
29. Bernui A., Mota B., Rebouas M. J., Tavakol R., Mapping the large-scale anisotropy in the WMAP data Astronomy and Astrophysics 2007 464 2 479 485
30. Bernui A., Anomalous CMB north-south asymmetry Physical Review D 2008 78 6 10
31. Eriksen H. K., Hansen F. K., Banday A. J., Grski K. M., Lilje P. B., Asymmetries in the cosmic microwave background anisotropy field Astrophysical Journal 2004 605 1 I 14 20
32. Eriksen H. K., Banday A. J., Grski K. M., Hansen F. K., Lilje P. B., Hemispherical power asymmetry in the third-year Wilkinson Microwave Anisotropy Probe sky maps Astrophysical Journal 2007 660 2 81 84
33. Pietrobon D., Cabella P., Balbi A., Crittenden R., de Gasperis G., Vittorio N., Needlet bispectrum asymmetries in the WMAP 5-year data Monthly Notices of the Royal Astronomical Society: Letters 2010 402 1 L34 L38
34. Abramo L. R., Sodr L. Jr., Wuensche C. A., Anomalies in the low CMB multipoles and extended foregrounds Physical Review D 2006 74 8 12
35. Abramo L. R., Bernui A., Ferreira I. S., Villela T., Wuensche C. A., Alignment tests for low CMB multipoles Physical Review D 2006 74 6 10
36. Hanson D., Lewis A., Estimators for CMB statistical anisotropy Physical Review D 2009 80 6 15
37. Pullen A. R., Kamionkowski M., Cosmic microwave background statistics for a direction-dependent primordial power spectrum Physical Review D 2007 76 10 8
38. Pereira T. S., Pitrou C., Uzan J.-P., Theory of cosmological perturbations in an anisotropic universe Journal of Cosmology and Astroparticle Physics 2007 2007 09, article 006
39. Pitrou C., Pereira T. S., Uzan J.-P., Predictions from an anisotropic inflationary era Journal of Cosmology and Astroparticle Physics 2008 2008 04, article 004
40. Gmrkolu A. E., Contaldi C. R., Peloso M., Inflationary perturbations in anisotropic backgrounds and their imprint on the cosmic microwave background Journal of Cosmology and Astroparticle Physics 2007 2007 11 1 35
41. Varshalovich D. A., Moskalev A. N., Khersonsky V. K., Quantum Theory of Angular Momentum 1988 Singapore World Scientific
42. Uzan J.-P., Clarkson C., Ellis G. F. R., Time drift of cosmological redshifts as a test of the copernican principle Physical Review Letters 2008 100 19 4
43. Prunet S., Uzan J.-P., Bernardeau F., Brunier T., Constraints on mode couplings and modulation of the CMB with WMAP data Physical Review D 2005 71 8 1 12 (Pubitemid 40657235)
44. Ferreira P. G., Magueijo J., Closet non-Gaussianity of anisotropic Gaussian fluctuations Physical Review D 1997 56 8 4578 4591
45. Fry J. N., Melott A. L., Statistical comparison of galaxy formation models: the bispectrum. NSF-ITP-84-143
46. Luo X., The angular bispectrum of the cosmic microwave background Astrophysical Journal 1994 427 2 71 74
47. Spergel D. N., Goldberg D. M., Microwave background bispectrum. I. Basic formalism Physical Review D 1999 59 10 8
48. Hu W., Angular trispectrum of the cosmic microwave background Physical Review D 2001 64 8 15
49. Hivon E., Grski K. M., Netterfield C. B., Crill B. P., Prunet S., Hansen F., Master of the cosmic microwave background anisotropy power spectrum: a fast method for statistical analysis of large and complex cosmic microwave background data sets Astrophysical Journal 2002 567 1 2 17
50. Ackerman L., Carroll S. M., Wise M. B., Imprints of a primordial preferred direction on the microwave background Physical Review D 2007 75 8 7
51. Shtanov Y., Pyatkovska H., Statistical anisotropy in the inflationary universe Physical Review D 2009 80 2 19
52. Luminet J.-P., Weeks J. R., Riazuelo A., Lehoucq R., Uzan J.-P., Dodecahedral space topology as an explanation for weak wide-angle temperature correlations in the cosmic microwave background Nature 2003 425 6958 593 595
53. Riazuelo A., Weeks J., Uzan J.-P., Lehoucq R., Luminet J.-P., Cosmic microwave background anisotropies in multi-connected flat spaces Physical Review D 2004 69 10 25
54. Hiplito-Ricaldi W. S., Gomero G. I., Topological signatures in CMB temperature anisotropy maps Physical Review D 2005 72 10 24
55. Kahniashvili T., Lavrelashvili G., Ratra B., CMB temperature anisotropy from broken spatial isotropy due to a homogeneous cosmological magnetic field Physical Review D 2008 78 6 15
56. Kahniashvili T., Maravin Y., Kosowsky A., Faraday rotation limits on a primordial magnetic field from Wilkinson Microwave Anisotropy Probe five-year data Physical Review D 2009 80 2 5
57. Bernui A., Hiplito-Ricaldi W. S., Can a primordial magnetic field originate large-scale anomalies in WMAP data? Monthly Notices of the Royal Astronomical Society 2008 389 3 1453 1460
58. Caprini C., Finelli F., Paoletti D., Riotto A., The cosmic microwave background temperature bispectrum from scalar perturbations induced by primordial magnetic fields Journal of Cosmology and Astroparticle Physics 2009 2009 6, article 021
59. Seshadri T. R., Subramanian K., Cosmic microwave background bispectrum from primordial magnetic fields on large angular scales Physical Review Letters 2009 103 8 4
60. Gordon C., Hu W., Huterer D., Crawford T., Spontaneous isotropy breaking: a mechanism for CMB multipole alignments Physical Review D 2005 72 10 13
61. Campanelli L., Cea P., Tedesco L., Cosmic microwave background quadrupole and ellipsoidal universe Physical Review D 2007 76 6 10
62. Campanelli L., Model of universe anisotropization Physical Review D 2009 80 6 12
63. Erickcek A. L., Kamionkowski M., Carroll S. M., A hemispherical power asymmetry from inflation Physical Review D 2008 78 12 5
64. Erickcek A. L., Hirata C. M., Kamionkowski M., A scale-dependent power asymmetry from isocurvature perturbations Physical Review D 2009 80 8 17
65. Donoghue J. F., Dutta K., Ross A., Nonisotropy in the CMB power spectrum in single field inflation Physical Review D 2009 80 2 13
66. Kawasaki M., Nakayama K., Sekiguchi T., Suyama T., Takahashi F., Non-Gaussianity from isocurvature perturbations Journal of Cosmology and Astroparticle Physics 2008 2008 11, article 019
67. Kawasaki M., Nakayama K., Sekiguchi T., Suyama T., Takahashi F., A general analysis of non-gaussianity from isocurvature perturbations Journal of Cosmology and Astroparticle Physics 2009 2009 1, article 042
68. Hajian A., Souradeep T., Measuring the statistical isotropy of the cosmic microwave background anisotropy Astrophysical Journal 2003 597 1 5 8
69. Hajian A., Souradeep T., Cornish N., Statistical isotropy of the wilkinson microwave anisotropy probe data: a bipolar power spectrum analysis Astrophysical Journal 2005 618 2 63 66
70. Hajian A., Souradeep T., The Cosmic Microwave Background bipolar power spectrum: basic formalism and applications. http://arxiv.org/abs/astro-ph/ 0501001
71. Pereira T. S., Abramo L. R., Angular-planar CMB power spectrum Physical Review D 2009 80 6 12
72. Weeks J. R., Maxwell's multipole vectors and the CMB. http://arxiv.org/abs/astro-ph/0412231
73. Katz G., Weeks J., Polynomial interpretation of multipole vectors Physical Review D 2004 70 6 6
74. Hobson E., The Theory of Spherical and Ellipsoidal Harmonics 1955 London, UK Chelsea Publishing
75. Dennis M. R., Land K., Probability density of the multipole vectors for a Gaussian cosmic microwave background Monthly Notices of the Royal Astronomical Society 2008 383 2 424 434
76. Ash R. B., Basic Probability Theory 2008 New York, NY, USA Dover
77. http://lambda.gsfc.nasa.gov/
78. Kim J., Naselsky P., Christensen P. R., CMB map derived from the WMAP data through harmonic internal linear combination Physical Review D 2008 77 10 14
79. Hinshaw G., Nolta M. R., Bennett C. L., Bean R., Dor O., Greason M. R., Halpern M., Hill R. S., Jarosik N., Kogut A., Komatsu E., Limon M., Odegard N., Meyer S. S., Page L., Peiris H. V., Spergel D. N., Tucker G. S., Verde L., Weiland J. L., Wollack E., Wright' E. L., Three-year Wilkinson Microwave Anisotropyprobe (WMAP1) observations: temperature analysis Astrophysical Journal, Supplement Series 2007 170 2 288 334
80. de Oliveira-Costa A., Tegmark M., CMB multipole measurements in the presence of foregrounds Physical Review D 2006 74 2 13
81. Park C.-G., Park C., Gott J. R. III, Cleaned 3 year Wilkinson Microwave anistropy probe cosmic microwave background map: magnitude of the quadrupole and alignment of large-scale modes Astrophysical Journal 2007 660 2 I 959 975
82. Delabrouille J., Cardoso J.-F., Le Jeune M., Betoule M., Fay G., Guilloux F., A full sky, low foreground, high resolution CMB map from WMAP Astronomy and Astrophysics 2009 493 3 835 837
83. Jarosik N., Barnes C., Greason M. R., Hill R. S., Nolta M. R., Odegard N., Weiland J. L., Bean R., Bennett C. L., Dor O., Halpern M., Hinshaw G., Kogut A., Komatsu E., Limon M., Meyer S. S., Page L., Spergel D. N., Tucker G. S., Wollack E., Wright E. L., Three-year Wilkinson Microwave Anisotropyprobe (WMAP)1 observations: beam profiles, data processing, radiometer characterization, and systematic error limits Astrophysical Journal, Supplement Series 2007 170 2 263 287
84. Gold B., Bennett C. L., Hill R. S., Hinshaw G., Odegard N., Page L., Spergel D. N., Weiland J. L., Dunkley J., Halpern M., Jarosik N., Kogut A., Komatsu E., Larson D., Meyer S. S., Nolta M. R., Wollack E., Wright E. L., Five-year wilkinson microwave anisotropy probe observations: galactic foreground emission Astrophysical Journal, Supplement Series 2009 180 2 265 282
85. Francis C. L., Peacock J. A., An estimate of the local ISW signal, and its impact on CMB anomalies Monthly Notices of the Royal Astronomical Society 2010 406 1 14 21
86. Bennett C. L., Hill R. S., Hinshaw G., Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: are there cosmic microwave background anomalies? http://arxiv.org/abs/1001.4758