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Effective theory for close limit of two branes
We discuss the effective theory for the close limit of two branes in a
covariant way. To do so we solve the five dimensional Einstein equation along
the direction of the extra dimension. Using the Taylor expansion we solve the
bulk spacetimes and derive the effective theory describing the close limit. We
also discuss the radion dynamics and braneworld black holes for the close limit
in our formulation.Comment: 6 pages, a version to be published in Phy.Rev.