On the Validity of a Factorizable Metric Ansatz in String Cosmology

Abstract

To support the validity of a factorizable metric ansatz used in string cosmology, we investigate a toy problem in RSI model. For this purpose, we revise the gradient expansion method to conform to the factorizable metric ansatz. By solving the 5-dimensional equations of motion and substituting the results into the action, we obtain the 4-dimensional effective action. It turns out that the resultant action is equivalent to that obtained by assuming the factorizable metric ansatz. Our analysis gives the support of the validity of the factorizable metric ansatz.

5 pages, Typos corrected. Published version

References in corpus (3)

• Brane Worlds in 5D and Warped Compactifications in IIB
• Low Energy Branes, Effective Theory and Cosmology
• Conformal symmetry of brane world effective actions

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• Stringy Effects During Inflation and Reheating
• Low Energy Effective Action for Horava-Witten Cosmology
• Braneworld Flux Inflation
• AdS/CFT on the brane
• Metric factorizability and equivalence of brane world models with Brans-Dicke theory
• High-energy effective theory for a bulk brane
• A four-dimensional description of five-dimensional N-brane models
• Gravity is controlled by cosmological constant