Correspondence Between DGP Brane Cosmology and 5D Ricci-flat Cosmology
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We discuss the correspondence between the DGP brane cosmology and 5D Ricci-flat cosmology by letting their metrics equal each other. By this correspondence, a specific geometrical property of the arbitrary integral constant I in DGP metric is given and it is related to the curvature of 5D bulk. At the same time, the relation of arbitrary functions $μ$ and $ν$ in a class of Ricci-flat solutions is obtained from DGP brane metric.
8 pages, 1 figure, accepted by MPLA, added reference
8 pages, 1 figure, accepted by MPLA, added reference