Wave function of the radion with a bulk scalar field
P. Brax, C. van de Bruck, A.C. Davis, C.S. Rhodes

TL;DR
This paper investigates the dynamics of the radion in a braneworld model with a bulk scalar field, deriving an effective scalar-tensor theory that couples the radion to four-dimensional gravity, influenced by supergravity conditions.
Contribution
It derives the four-dimensional effective action for the radion in the presence of a bulk scalar field, revealing its scalar-tensor nature and the influence of supergravity BPS conditions.
Findings
Radion dynamics are coupled to scalar fields via supergravity constraints
Effective action is of scalar-tensor type
Radion behavior is influenced by bulk scalar field properties
Abstract
The behaviour of the distance between two branes (the `radion') in a braneworld model with a bulk scalar field is investigated. We show that the BPS conditions of supergravity ensure that the dynamics of the scalar field and the radion are not independent; we derive the four-dimensional effective action, showing that the effective theory is of scalar--tensor nature, coupling the radion to four-dimensional gravity.
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