Correspondence Between DGP Brane Cosmology and 5D Ricci-flat Cosmology

Details Correspondence Between DGP Brane Cosmology and 5D Ricci-flat Cosmology Correspondence Between DGP Brane Cosmology and 5D Ricci-flat Cosmology

2007-07-19

arxiv.org/abs/0707.2829v2

Mod.Phys.Lett.A23:695-702,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, 1 figure, accepted by MPLA, added reference

Scientific paper

10.1142/S0217732308024079

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 $\mu$ and $\nu$ in a class of Ricci-flat solutions is obtained from DGP brane metric.

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