Avihay Kadosh, Aharon Davidson, Elisabetta Pallante
Invoking an initial symmetry between the time $t$ and some extra spatial
dimension $y$, we discuss a novel scenario where the dynamical formation of the
4-dim brane and its cosmological evolution are induced simultaneously by a
common $ t<-->y $ symmetry breaking mechanism. The local maximum of the
underlying 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 spatial
dimension. Special attention is devoted to the so-called slinky configurations,
whose brane cosmology is characterized by a decaying cosmological constant
along the watershed curve. Such a slinky solution is first constructed within a
simplified case where the watershed is constrained by $y=0$. The physical
requirements (and the problematics) for a slinky configuration to generate a
realistic model are then discussed in a more elaborated framework. Prospects
for adding matter and radiation fields, their localization and their
cosmological implications are briefly discussed.
View original:
http://arxiv.org/abs/1202.5255
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