Standard cosmology from the brane cosmology with a localized matter

Y. S. Myung

doi:10.1142/S0217732302008319

paper

Standard cosmology from the brane cosmology with a localized matter

arXiv:hep-th/0103241 · doi:10.1142/S0217732302008319

Abstract

We discuss the brane cosmology in the 5D anti de Sitter Reissner-Nordstrom (AdSRN $_{5}$ ) spacetime. A brane with the tension $σ$ 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 $(ρ_{C F T})$ from $M$ and the charged dust $(- ρ_{c d}^{2})$ from $Q^{2}$ in the Friedmann-like equation. However, this equation is not justified because it contains $ρ_{c d}^{2}$ -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 $P_{d m} = 0$ . If $ρ_{dm}=\fr{\sqrt 3}{2}ρ_{cd}$, the unwanted $- ρ_{c d}^{2}$ is cancelled against $ρ_{d m}^{2}$ and thus one recovers a standard Friedmann-Robertson-Walker universe with CFT-radiation and dust matter. For the stiff matter consideration, we can set $ρ_{cs t i} \sim Q^{2}$ with the negative sign. Here we introduce a massless scalar which plays the role of a stiff matter with $P_{sc a} = ρ_{sc a}$ to cancel $- ρ_{cs t i}$ . In this case, however, we find a mixed version of the standard and brane cosmologies.

8 pages, Latex, version to appear in MPLA

Standard cosmology from the brane cosmology with a localized matter

Abstract

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