$d_{\ell}(z)$ and BAO in the emergent gravity and the dark universe

Abstract

We illustrate that $\Lambda$MOND cosmology following from E. Verlinde's emergent gravity idea which contains only constant dark energy and baryonic matters governed by linear inverse gravitation forces at and beyond galaxy scales fit with the luminosity distance v.s. redshift relationship, i.e. $d_\ell(z)$ of type Ia supernovae equally well as the standard $\Lambda$CDM cosmology does. But in a rather broad and reasonable parameter space, $\Lambda$MOND gives too strong baryon acoustic oscillation, i.e. BAO signals on the matter power spectrum contradicting with observations from various galaxy survey and counting experiments.