Effective theory for close limit of two branes
Tetsuya Shiromizu, Kazuya Koyama, Keitaro Takahashi

TL;DR
This paper develops an effective covariant theory for the close limit of two branes by solving five-dimensional Einstein equations, analyzing radion dynamics and braneworld black holes.
Contribution
It introduces a covariant approach to derive the effective theory for two branes in close proximity, including radion and black hole dynamics.
Findings
Derived the effective theory using Taylor expansion of bulk spacetime
Analyzed radion dynamics in the close limit
Discussed braneworld black holes within this framework
Abstract
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.
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