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Invoking an initial symmetry between the time $ t $ and some extra spatialdimension $ y $, we discuss a novel scenario where the dynamical formation ofthe 4-dim brane and its cosmological evolution are induced simultaneously by acommon $ t<->y $ symmetry breaking mechanism. The local maximum of theunderlying scalar potential is mapped onto a 'watershed' curve in the $ (t,y) $plane; the direction tangent to this curve is identified as the cosmic time,whereas the perpendicular direction serves locally as the extra spatialdimension. Special attention is devoted to the so-called slinky configurations,whose brane cosmology is characterized by a decaying cosmological constantalong the watershed curve. Such a slinky solution is first constructed within asimplified case where the watershed is constrained by $ y = 0 $. The physicalrequirements for a slinky configuration to generate a realistic model ofcosmological evolution are then discussed in a more elaborated framework.

Slinky evolution of domain wall brane cosmology