Correspondence Between DGP Brane Cosmology and 5D Ricci-flat Cosmology
Yongli Ping, Lixin Xu, Hongya Liu
TL;DR
This paper explores the mathematical relationship between DGP brane cosmology and 5D Ricci-flat cosmology, revealing how their metrics and geometric properties correspond, especially concerning the integral constant and curvature of the bulk.
Contribution
It establishes a detailed correspondence between DGP brane cosmology and 5D Ricci-flat solutions, linking their metrics and geometric parameters.
Findings
Relation of integral constant I to 5D bulk curvature
Expression of Ricci-flat solution functions μ and ν from DGP metric
Geometrical interpretation of DGP parameters in 5D context
Abstract
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 and in a class of Ricci-flat solutions is obtained from DGP brane metric.
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