High-Energy theory for close Randall Sundrum branes

Abstract

We obtain an effective theory for the radion dynamics of the two-brane Randall Sundrum model, correct to all orders in brane velocity in the limit of close separation, which is of interest for studying brane collisions and early Universe cosmology. Obtained via a recursive solution of the Bulk equation of motions, the resulting theory represents a simple extension of the corresponding low-energy effective theory to the high energy regime. The four-dimensional low-energy theory is indeed not valid when corrections at second order in velocity are considered. This extension has the remarkable property of including only second derivatives and powers of first order derivatives. This important feature makes the theory particularly easy to solve. We then extend the theory by introducing a potential and detuning the branes.

Version published in the Physical Review D

References in corpus (6)

• Higher Derivative Quantum Gravity with Gauss-Bonnet Term
• Perturbations in bouncing cosmologies: dynamical attractor vs scale invariance
• Gravitational Field Equations on and off a 3-Brane World
• Brane Worlds in Collision
• Scalar perturbations from brane-world inflation
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Cited by in corpus (7)

• Solution of a Braneworld Big Crunch/Big Bang Cosmology
• Removing Ostrogradski ghost from degenerate gravity theories
• Two 3-Branes in Randall-Sundrum Setup and Current Acceleration of the Universe
• The dynamics of scalar-tensor cosmology from RS two-brane model
• High-energy effective theory for matter on close Randall Sundrum branes
• High-energy effective theory for a bulk brane
• High-energy effective theory for orbifold branes