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Topological defect brane-world models

M. Bouhmadi-Lopez·P. F. Gonzalez-Diaz·A. Zhuk
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Abstract

5-dimensional homogeneous and isotropic models with a bulk cosmological constant and a minimally coupled scalar field are considered. We have found that in special cases the scalar field can mimic a frustrated (i.e. disordered) networks of topological defects: cosmic strings, domain walls and hyperdomain walls. This equivalence enabled us to obtain 5-dimensional instantonic solutions which can be used to construct brane-world models. In some cases, their analytic continuation to a Lorentzian metric signature give rise to either 4-dimensional flat or inflating branes. Models with arbitrary dimensions (D $>$ 5) are also briefly discussed.

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M. Bouhmadi-Lopez, P. F. Gonzalez-Diaz, A. Zhuk. 2002-11-04. Topological defect brane-world models. https://arxiv.org/abs/hep-th/0207170

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