Can we detect hot/cold spots in the CMB with Minkowski Functionals?

Journal of Cosmology and Astroparticle Physics

Volumn 2012, Issue 1, 2012, Pages

  Lim, Eugene A ^a,b,c   Simon, Dennis ^d  

^a Och Spine at New York Presbyterian Hospitals   (United States)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^c University of Fondwa (UNIF2004)   (Haïti)

^d UNIVERSITY OF WÜRZBURG   (Germany)

Author keywords

initial conditions and eternal universe; nongaussianity; physics of the early universe

Indexed keywords

EID: 84856687991     PISSN: None     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2012/01/048     Document Type: Article

References (43)

1. P. Vielva, E. Martínez-Gonzlez, R. Barreiro, J.L. Sanz and L. Cayón, 2004 Detection of non-Gaussianity in the WMAP 1-year data using spherical wavelets, Astrophys. J. 609 22 [astro-ph/0310273]
2. P. Vielva, A comprehensive overview of the cold spot, [1008.3051]
3. A.H. Guth, 1981 The inflationary universe: a possible solution to the horizon and flatness problems, Phys. Rev. D 23 347
4. A. Vilenkin, 1983 The birth of inflationary universes, Phys. Rev. D 27 2848
5. S.R. Coleman and F. De Luccia, 1980 Gravitational effects on and of vacuum decay, Phys. Rev. D 21 3305
6. R. Easther, J.T. Giblin Jr., L. Hui and E.A. Lim, 2009 A new mechanism for bubble nucleation: classical transitions, Phys. Rev. D 80 123519 [0907.3234]
7. J.T. Giblin Jr., L. Hui, E.A. Lim and I-S. Yang, 2010 How to run through walls: dynamics of bubble and soliton collisions, Phys. Rev. D 82 045019 [1005.3493]
8. A. Aguirre, M.C. Johnson and A. Shomer, 2007 Towards observable signatures of other bubble universes, Phys. Rev. D 76 063509 [0704.3473]
9. A. Aguirre and M.C. Johnson, 2008 Towards observable signatures of other bubble universes. II: Exact solutions for thin-wall bubble collisions, Phys. Rev. D 77 123536 [0712.3038]
10. A. Aguirre, M.C. Johnson and M. Tysanner, 2009 Surviving the crash: assessing the aftermath of cosmic bubble collisions, Phys. Rev. D 79 123514 [0811.0866]
11. S. Chang, M. Kleban and T.S. Levi, 2008 When worlds collide J. Cosmol. Astropart. Phys. JCAP04(2008)034 [0712.2261]
12. S. Chang, M. Kleban and T.S. Levi, 2009 Watching worlds collide: effects on the CMB from cosmological bubble collisions J. Cosmol. Astropart. Phys. JCAP04(2009)025 [0810.5128]
13. B. Czech, M. Kleban, K. Larjo, T.S. Levi and K. Sigurdson, 2010 Polarizing bubble collisions J. Cosmol. Astropart. Phys. JCAP12(2010)023 [1006.0832]
14. K. Larjo and T.S. Levi, 2010 Bubble, bubble, flow and Hubble: large scale galaxy flow from cosmological bubble collisions J. Cosmol. Astropart. Phys. JCAP08(2010)034 [0910.4159]
15. M. Cruz, E. Martínez-Gonzlez, P. Vielva and L. Cayón, 2005 Detection of a non-Gaussian spot in WMAP, Mon. Not. Roy. Astron. Soc. 356 29 [astro-ph/0405341]
16. M. Cruz, M. Tucci, E. Martínez-Gonzlez and P. Vielva, 2006 The non-Gaussian cold spot in WMAP: significance, morphology and foreground contribution, Mon. Not. Roy. Astron. Soc. 369 57 [astro-ph/0601427]
17. M. Cruz, L. Cayón, E. Martínez-Gonzlez, P. Vielva and J. Jin, 2007 The non-Gaussian cold spot in the 3-year WMAP data, Astrophys. J. 655 11 [astro-ph/0603859]
18. R. Zhang and D. Huterer, 2010 Disks in the sky: a reassessment of the WMAP 'cold spot', Astropart. Phys. 33 69 [0908.3988]
19. C.L. Bennett et al., 2011 Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: are there cosmic microwave background anomalies?, Astrophys. J. Suppl. 192 17 [1001.4758]
20. S.M. Feeney, M.C. Johnson, D.J. Mortlock and H.V. Peiris, 2011 First observational tests of eternal inflation: analysis methods and WMAP 7-year results, Phys. Rev. D 84 043507 [1012.3667]
21. S.M. Feeney, M.C. Johnson, D.J. Mortlock and H.V. Peiris, 2011 First observational tests of eternal inflation, Phys. Rev. Lett. 107 071301 [1012.1995]
22. H. Mantz, K. Jacobs and K. Mecke, 2008 Utilizing Minkowski functionals for image analysis: a marching square algorithm J. Stat. Mech. P12015
23. J. Schmalzing, M. Kerscher and T. Buchert, 1995 Minkowski functionals in cosmology, in Proceedings of the International School of Physics 'Enrico Fermi', Course CXXXII: Dark Matter in the Universe, Varenna Italy, S. Bonometto, J. Primack and A. Provenzale eds., (IOP Press, Amsterdam Netherlands) 1996 [astro-ph/9508154]
24. M. Kerscher et al., 1997 Minkowski functionals of Abell/ACO clusters Mon. Not. Roy. Astron. Soc. 284 73 [astro-ph/9606133]
25. C. Hikage et al., 2003 Minkowski functionals of SDSS galaxies I: analysis of excursion sets Publ. Astron. Soc. Japan 55 911 [astro-ph/0304455]
26. S. Winitzki and A. Kosowsky, 1998 Minkowski functional description of microwave background Gaussianity, New Astron. 3 75 [astro-ph/9710164]
27. J. Schmalzing and K.M. Górski, 1998 Minkowski functionals used in the morphological analysis of cosmic microwave background anisotropy maps, Mon. Not. Roy. Astron. Soc. 297 355 [astro-ph/9710185]
28. D.I. Novikov, H.A. Feldman and S.F. Shandarin, 1999 Minkowski functionals and cluster analysis for CMB maps, Int. J. Mod. Phys. D 8 291 [astro-ph/9809238]
29. H.K. Eriksen, D.I. Novikov, P.B. Lilje, A. Banday and K.M. Górski, 2004 Testing for non-Gaussianity in the WMAP data: Minkowski functionals and the length of the skeleton, Astrophys. J. 612 64 [astro-ph/0401276]
30. C. Hikage, E. Komatsu and T. Matsubara, 2006 Primordial non-Gaussianity and analytical formula for Minkowski functionals of the cosmic microwave background and large-scale structure, Astrophys. J. 653 11 [astro-ph/0607284]
31. WMAP collaboration, E. Komatsu et al., 2009 Five-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: cosmological interpretation, Astrophys. J. Suppl. 180 330 [0803.0547]
32. C. Hikage et al., 2008 Limits on primordial non-Gaussianity from Minkowski functionals of the WMAP temperature anisotropies, Mon. Not. Roy. Astron. Soc. 389 1439 [0802.3677]
33. C. Hikage, K. Koyama, T. Matsubara, T. Takahashi and M. Yamaguchi, 2009 Limits on isocurvature perturbations from non-Gaussianity in WMAP temperature anisotropy, Mon. Not. Roy. Astron. Soc. 398 2188 [0812.3500]
34. T. Matsubara, 2010 Analytic Minkowski functionals of the cosmic microwave background: second-order non-Gaussianity with bispectrum and trispectrum, Phys. Rev. D 81 083505 [1001.2321]
35. H. Tomita, 1990 Statistics and geometry of random interface systems, in K. Kawasaki, M. Suzuki and A. Onuki eds., Formation, dynamics and statistics of patterns. Volume 1, World Scientific, Singapore, pg. 113-157
36. T. Matsubara, 2003 Statistics of smoothed cosmic fields in perturbation theory. 1. Formulation and useful formulae in second order perturbation theory, Astrophys. J. 584 1
37. A.D. Linde and V.F. Mukhanov, 1997 Non-Gaussian isocurvature perturbations from inflation, Phys. Rev. D 56 535 [astro-ph/9610219]
38. F. Bernardeau and J.-P. Uzan, 2003 Inflationary models inducing non-Gaussian metric fluctuations, Phys. Rev. D 67 121301 [astro-ph/0209330]
39. J.M. Maldacena, 2003 Non-Gaussian features of primordial fluctuations in single field inflationary models J. High Energy Phys. JHEP05(2003)013 [astro-ph/0210603]
40. X. Chen, 2010 Primordial non-Gaussianities from inflation models, Adv. Astron. 2010 638979 [1002.1416]
41. K.M. Górski et al., 2005 HEALPix - a framework for high resolution discretization and fast analysis of data distributed on the sphere, Astrophys. J. 622 759 [astro-ph/0409513]
42. WMAP collaboration, M. Nolta et al., 2009 Five-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: angular power spectra, Astrophys. J. Suppl. 180 296 [0803.0593]
43. WMAP collaboration, C.L. Bennett et al., 2003 First-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: foreground emission, Astrophys. J. Suppl. 148 97 [astro-ph/0302208]