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Stable, Time-Dependent, Exact Solutions for Brane Models with a Bulk Scalar Field

Panagiota Kanti·Seokcheon Lee·Keith A. Olive
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Abstract

We derive two classes of brane-world solutions arising in the presence of a bulk scalar field. For static field configurations, we adopt a time-dependent, factorizable metric ansatz that allows for radion stabilization. The solutions are characterized by a non-trivial warping along the extra dimension, even in the case of a vanishing bulk cosmological constant, and lead to a variety of inflationary, time-dependent solutions of the 3D scale factor on the brane. We also derive the constraints necessary for the stability of these solutions under time-dependent perturbations of the radion field, and we demonstrate the existence of phenomenologically interesting, stable solutions with a positive cosmological constant on the brane.

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Panagiota Kanti, Seokcheon Lee, Keith A. Olive. 2002-09-04. Stable, Time-Dependent, Exact Solutions for Brane Models with a Bulk Scalar Field. https://doi.org/10.1103/physrevd.67.024037

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