Inflationary solutions in higher-dimensional quantum cosmology

Physics

Scientific paper

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Scientific paper

This paper studies a massive scalar field in a (n+2)-dimensional spherically symmetric space-time withR×S×S n topology. The Hamilton-Jacobi function is constructed from the Wick-rotated action of the solution of Einstein's field equations by analytic continuation. Solutions are obtained by solving the Hamilton-Jacobi equation in the Lorentzian region, and inflation is exhibited.

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