Contribution to the Three--Point Function of the Cosmic Microwave Background from the Rees--Sciama Effect

Details Contribution to the Three--Point Function of the Cosmic Microwave Background from the Rees--Sciama Effect Contribution to the Three--Point Function of the Cosmic Microwave Background from the Rees--Sciama Effect

1995-03-30

arxiv.org/abs/astro-ph/9503115v1

Astrophys.J.453:1,1995

Astronomy and Astrophysics

Astrophysics

uuencoded compressed postscript, 10 pages text, 2 pages figures

Scientific paper

10.1086/176363

We compute the contribution to the three--point temperature correlation function of the Cosmic Microwave Background coming from the non--linear evolution of Gaussian initial perturbations, as described by the Rees--Sciama (or integrated Sachs--Wolfe) effect. By expressing the collapsed three--point function in terms of multipole amplitudes, we are able to calculate its expectation value for any power spectrum and for any experimental setting on large angular scales. We also give an analytical expression for the {\it rms} collapsed three--point function arising from the cosmic variance of a Gaussian fluctuation field. In the case of {\it COBE} DMR, we find that the predicted signal is about three orders of magnitude below that expected from the cosmic variance.

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