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CMB: Anisotropies Due to Non-Linear Clustering

Published online by Cambridge University Press:  25 May 2016

E. Martínez-González  and
J. L. Sanz
E. Martínez-González
Affiliation:
Dpto. de Física Moderna, Universidad de Cantabria and Instituto de Estudios Avanzados, CSIC–Universidad de Cantabria, Facultad de Ciencias, Avda. de Los Castros s/n, 39005 Santander, Spain
J. L. Sanz
Affiliation:
Dpto. de Física Moderna, Universidad de Cantabria and Instituto de Estudios Avanzados, CSIC–Universidad de Cantabria, Facultad de Ciencias, Avda. de Los Castros s/n, 39005 Santander, Spain

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Most of the studies on the anisotropy expected in the temperature of the cosmic microwave background (CMB) have been based on linear density perturbations. The anisotropies at angular scales ≥ 1o (horizon at recombination) are preserved during the evolution of the universe, whereas for smaller scales new effects can appear, generated during the non-linear phase of matter clustering evolution: i) the Sunyaev-Zeldovich effect due to hot gas in clusters (Scaramella et al. 1993), ii) the Vishniac effect (Vishniac 1987) due to the coupling between density fluctuations and bulk motions of gas and iii) the integrated gravitational effect (Martínez–González et al. 1994) due to time-varyng gravitational potentials. A single potential φ(t, x), satisfying the Poisson equation, is enouph to describe weak gravitational fields associated to non-linear density fluctuations when one considers scales smaller than the horizon and non-relativistic peculiar velocities. The temperature anisotropies, in a flat universe, are given by the expression (Martínez–González et al. 1990)

Type
Part II: Contributed Papers
Information
Symposium - International Astronomical Union , Volume 168: Examining the Big Bang and the Diffuse Background Radiations , 1996 , pp. 445 - 446
Copyright
Copyright © Kluwer 1996 

References

Martínez-González, E., Sanz, J.L. and Silk, J. (1990), The Astrophysical Journal Letters, Vol. no. 355, L5.CrossRefGoogle Scholar
Martínez-González, E., Sanz, J.L. and Silk, J. (1994), The Astrophysical Journal, in press.Google Scholar
Scaramella, R., Cen, R. and Ostriker, J. P. (1993), The Astrophysical Journal, Vol. no. 416, 399.CrossRefGoogle Scholar
Vishniac, E. T. (1987), The Astrophysical Journal, Vol. no. 322, 597.CrossRefGoogle Scholar