Slinky evolution of domain wall brane cosmology

Details Slinky evolution of domain wall brane cosmology Slinky evolution of domain wall brane cosmology

2012-02-23

arxiv.org/abs/1202.5255v1

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, 4 figures

Scientific paper

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.

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