Cosmology and Modulus Stabilization in the Randall-Sundrum Setup with Bulk Matter
Bumseok Kyae
TL;DR
This paper derives exact time-dependent cosmological solutions in the Randall-Sundrum model with bulk matter, explaining how the extra dimension remains stable despite a flat classical potential.
Contribution
It provides the first exact dynamic solutions in the RS setup with bulk matter and offers a novel explanation for modulus stabilization.
Findings
Solutions reduce to Friedmann equations in static limit
Extra dimension stabilization occurs despite flat classical potential
Dynamic solutions connect smoothly to static RS metric
Abstract
We provide the exact time-dependent cosmological solutions in the Randall-Sundrum (RS) setup with bulk matter, which may be smoothly connected to the static RS metric. In the static limit of the extra dimension, the solutions are reduced to the standard Friedmann equations. In view of our solutions, we also propose an explanation for how the extra dimension is stabilized in spite of a flat modulus potential at the classical level.
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Taxonomy
TopicsCosmology and Gravitation Theories · Black Holes and Theoretical Physics · Geometric Analysis and Curvature Flows