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Induced gravity and universe creation on the domain wall in five-dimensional space-time. (English) Zbl 1177.83128

Theor. Math. Phys. 148, No. 1, 880-894 (2006); translation from Teor. Mat. Fiz. 148, No. 1, 4-22 (2006).
Summary: 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.

MSC:

83F05 Relativistic cosmology
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