When Can Non-Gaussian Density Fields Produce a Gaussian Sachs-Wolfe Effect?

Details When Can Non-Gaussian Density Fields Produce a Gaussian Sachs-Wolfe Effect? When Can Non-Gaussian Density Fields Produce a Gaussian Sachs-Wolfe Effect?

1994-07-27

arxiv.org/abs/astro-ph/9407089v2

Astrophys.J.446:44,1995

Astronomy and Astrophysics

Astrophysics

13 pages + 4 figs., uuencoded, compressed postscript files, (Repaired error in uudecode unpacking.)

Scientific paper

10.1086/175764

The Sachs-Wolfe temperature fluctuations produced by primordial density perturbations are proportional to the potential field \phi, which is a weighted integral over the density field \delta. Because of the central limit theorem, \phi can be approximately Gaussian even when \delta is non-Gaussian. Using the Wold representation for non-Gaussian density fields, \delta(\rvec) = \int f(|\rvec - \rvec^\prime|) \Delta(\rvec^\prime) d^3 \rvec^\prime, we find conditions on \Delta and f for which \phi must have a Gaussian one-point distribution, while \delta can be non-Gaussian. Sufficient (but not necessary) conditions are that the density field have a power spectrum (which determines f) of P(k) \propto k^n, with -2 < n \le +1, and that \Delta(\rvec) be non-Gaussian with no long-range correlations. Thus, there is an infinite set of non-Gaussian density fields which produce a nearly Gaussian one-point distribution for the Sachs-Wolfe effect.

Affiliated with

Also associated with

No associations

Rating

When Can Non-Gaussian Density Fields Produce a Gaussian Sachs-Wolfe Effect? does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with When Can Non-Gaussian Density Fields Produce a Gaussian Sachs-Wolfe Effect?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and When Can Non-Gaussian Density Fields Produce a Gaussian Sachs-Wolfe Effect? will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-467440