Cosmic Microwave Background Radiation Anisotropies in Brane Worlds

We propose a new formulation to calculate the cosmic microwave background (CMB) spectrum in the Randall-Sundrum two-brane model based on recent progress in solving the bulk geometry using a low energy approximation. The evolution of the anisotropic stress imprinted on the brane by the 5D Weyl tensor is calculated. An impact of the dark radiation perturbation on the CMB spectrum is investigated in a simple model assuming an initially scale-invariant adiabatic perturbation. The dark radiation perturbation induces isocurvature perturbations, but the resultant spectrum can be quite different from the prediction of simple mixtures of adiabatic and isocurvature perturbations due to Weyl anisotropic stress.

Figure 1

CMB angular power spectrum for various $\delta C_{*}$. ${\zeta }_{*}$ is appropriately normalized. We take ${\Omega }_0=0.26$, ${\Omega }_{\Lambda }=0.70$, ${\Omega }_b=0.04$, $h=0.72$, and $n=1$. The observational data were taken from WMAP [2] and the spectrum was calculated by modifying CMBEASY which is based on CMBFAST [14].