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We search for time-dependent solutions for the 5-dimensional system of a scalar field canonically coupled to gravity. Time-independent and time-dependent scalar field configurations with the most general homogeneous and isotropic 4D metric are considered. For the case of time-independent scalar field, the time evolution of the scale factor is obtained for different values of the spatial curvature k = 0, ±1. In the case of time-dependent scalar field, two classes of solutions are discussed and an extension of the superpotential formalism is proposed.
KeywordsLarge Extra Dimensions Cosmology of Theories beyond the SM Classical Theories of Gravity Field Theories in Higher Dimensions
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