The bispectrum of relativistic galaxy number counts

Wednesday, 14 October, 2015

Published in: 

arXiv:1510.04202

Starting from the relativistic galaxy number counts to second order in cosmological perturbation theory which we have determined in a previous paper, we discuss the dominant terms on sub-Hubble scales and on intermediate to large redshifts. In particular, we determine their contribution to the bispectrum. In addition to the terms already known from Newtonian second order perturbation theory, we find that there are a series of additional `lensing-like' terms which contribute to the bispectrum. We derive analytical expressions for the full leading order bispectrum and we evaluate it numerically for different configurations, indicating how they can be measured with upcoming surveys. In particular, the new `lensing-like' terms are not negligible within large window functions and even dominate the bispectrum at well separated redshifts. This offers us the possibility to measure them in future surveys.

Author(s): 

Enea Di Dio
Ruth Durrer
Giovanni Marozzi
Francesco Montanari