Galaxy-CMB Cross-Correlation as a Probe of Alternative Models of Gravity

Schmidt, Fabian; Liguori, Michele; Dodelson, Scott

Galaxy-CMB Cross-Correlation as a Probe of Alternative Models of Gravity

Authors

Schmidt, Fabian

Liguori, Michele

Dodelson, Scott

Description

Bekenstein's alternative to general relativity, TeVeS, reduces to Modified Newtonian Dynamics (MOND) in the galactic limit. On cosmological scales, the (potential well <-> overdensity) relationship is quite different than in standard general relativity. Here we investigate the possibility of cross-correlating galaxies with the cosmic microwave background (CMB) to probe this relationship. At redshifts of order 2, the sign of the CMB-galaxy correlation differs in TeVeS from that in general relativity. We show that this effect is detectable and hence can serve as a powerful discriminator of these two models of gravity.
10 pages, 6 figures, revised version re-submitted to Phys. Rev. D