Geodesic
Induced gravity and universe creation on the domain wall in five-dimensional space-time
Teoretičeskaâ i matematičeskaâ fizika, Tome 148 (2006) no. 1, pp. 4-22 Cet article a éte moissonné depuis la source Math-Net.Ru

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We present a model with a strong fermion self-interaction and an induced gravitational interaction in five-dimensional space-time. In the strong-coupling regime, this model develops a spontaneous breaking of translational invariance, which results in localizing light particles on the $(3+1)$-dimensional domain wall embedded in the anti-de Sitter five-dimensional space-time. We obtain the corresponding low-energy effective action and investigate kink-type vacuum solutions in a quasiflat Riemannian metric. We discuss the physics of light particles in $3+1$ dimensions and establish the fundamental relations between the induced gravitational constant and both the curvature in the five-dimensional anti-de Sitter space-time and the Newton gravitational constant of our universe.
Keywords: induced gravity, dynamical symmetry breaking, domain walls in five-dimensional space–time. 
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A. A. Andrianov; V. A. Andrianov; P. Giacconi; R. Soldati. Induced gravity and universe creation on the domain wall in five-dimensional space-time. Teoretičeskaâ i matematičeskaâ fizika, Tome 148 (2006) no. 1, pp. 4-22. http://geodesic.mathdoc.fr/item/TMF_2006_148_1_a1/

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