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Gradient pattern analysis for topological feature extraction in the cosmic microwave background maps

doi: 10.6062/jcis.2014.05.01.0078

Authors

R. R. Rosa et. al.

Abstract

We simulate, using the implicit eigenmodes formalism (IEF) recently introduced by Gomero & Hipólito-Ricaldi,the cosmic microwave background temperature maps in /CDM universes considering a nontrivial (cylindrical)spatial topology. Requiring the pixels to be as uniform and circular as possible, the 2D-maps are projected using the Igloo pixelization. The equator temperature fluctuation profiles, from each simulated map, are analyzed applying the gradient pattern analysis technique. Based on the values of temperature asymmetries we compare a set of topologically trivial maps with a set of topologically nontrivial (cylindrical) maps generated by different random seeds. Our preliminary results show that the topological signature is detected in the maps by the asymmetries computed throughout the gradient pattern analysis.

Keywords

References

[1] Liddle, A., An Introduction to Modern Cosmology, John Wiley & Sons, England, 2003.

[2] Barreiro, R.B., oThe Cosmic Microwave Background: State of the Artp, New Astron. Rev., 44, 179-204, 2000.

[3] Ramos, F.M., Wuenshe, C.A., Ribeiro,A.L.B., Rosa, R.R., "Multiscaling and nonextensivity of large-scale structures in the Universe, Physica D, 168:404-409, 2002.

[4] Bennett, C.L. et al., oFirst Year Wilkonson Microwave Anistropy Probe (WMAP) Observations: Preliminary Maps and Basic Resultsp, Astrophys. J. Suppl. Ser., 148, 1-27, 2003.

[5] R.R. Rosa, A.S. Sharma, J. Valdivia, Int. J. Mod. Phys. C 10: 147, 1999.

[6] G.I. Gomero, W. Hipólito-Ricaldi, astro-ph/0507238, 2005. (http://br.arXiv.org/)

[7] Bond, J.R., Crittenden, R.G.; Jaffe, A.H., Computing challenges of the cosmic microwave background, Science and Engineering I(3):12, 1999.

[8] F.M. Ramos, R.R. Rosa, C. Rodrigues Neto, Physica A 283:171, 2000.

[9] R.R. Rosa, M.R. Campos, F.M. Ramos, S. Fujiwara, T. Sato, Braz. J. Phys. 33:605, 2003.

[10] Cosmic Background Imager http://www.astro.caltech.edu/~tjp/CBI/links/

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