Standard cosmology from the brane cosmology with a localized matter

We discuss the brane cosmology in the 5D anti de Sitter Reissner-Nordstrom (AdSRN$_5$) spacetime. A brane with the tension $\sigma$ is defined as the edge of an AdSRN$_5$ space with mass $M$ and charge $Q$. In this case we get the CFT radiation term $(\rho_{CFT})$ from $M$ and the charge dust $(\rho^2_{cd})$ from $Q^2$ in the Friedmann-like equation. However, this is not justified because it contains $\rho_{cd}^2$-term with wrong (negative) sign. In order to resolve this problem, we introduce a dust matter which satisfies $P_{dm}=\rho_{dm}$. If $\rho_{dm}=\fr{2}{3}\rho_{cd}$, the unwanted $\rho_{cd}^2$ is cancelled against $\rho_{rm}^2$ and thus one recovers a standard Friedmann-Robertson-Walker universe with CFT radiation and dust matter. For the stiff matter consideration, we can set $\rho_{csti}\sim Q^2$ with the negative sign. Here we introduce a massless scalar which plays a role of the stiff matter with $P_{sca}=\rho_{sca}$ to cancel a negative $\rho_{csti}$. In this case, however, we find a mixed version of standard and brane cosmologies