Galaxy number counts in a presence of the graviton background

Abstract

In the model of low-energy quantum gravity by the author, cosmological redshifts are caused by interactions of photons with gravitons. Non-forehead collisions with gravitons will lead to an additional relaxation of any photonic flux. Using only the luminosity distance and a geometrical one as functions of a redshift in this model, theoretical predictions for galaxy number counts are considered here. The Schechter luminosity function with $\alpha =-2.43$ is used. The considered model provides a good fit to galaxy observations by Yasuda et al. (AJ, 122 (2001) 1104) if the same K-corrections are added. It is shown that observations of $N(z)$ for different magnitudes $m$ are a lot more informative than the ones of $N(m).$