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A cosmological model in ten dimensions is proposed, based on a double fibre bundle V4*SU(2)*SU(2) leading to the Higgs potential and spontaneous symmetry breaking. The Lagrangian of the theory contains all the invariants of the ten-dimensional Riemann tensor up to the third, leading to the second-order differential equations. The static solutions of the system are obtained and discussed. The possibility of joining the four-dimensional Friedmann solutions from an unstable non-singular initial state through an inflationary stage is considered.
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Giorgini et al. (1988) studied this question.
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