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)) space-time. A brane with tension a 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 charged dust (-rho(cd)(2))from Q(2) in the Friedmann-like equation. However, this equation is not justified because it contains rho(cd)(2)-term with the negative sign. This is unconventional in view of the standard cosmology. In order to resolve this problem, we introduce a localized dust matter which satisfies P-dm = 0. If rho(dm) = root3/2rho(cd), the unwanted -rho(cd)(2) is cancelled against rho(dm)(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) similar to Q(2) with the negative sign. Here we introduce a massless scalar which plays the role of a stiff matter with P-sca = rho(sca) to cancel -rho(csti). In this case, however, we find a mixed version of the standard and brane cosmologies.