Initial conditions for anisotropic extended-type inflationary universes

Mathematics – Logic

Scientific paper

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Origin And Formation Of The Universe

Scientific paper

Recently, extended-type inflationary universe models have been proposed as an appealing approach for solving most of the cosmological ``puzzles'' that, in contrast with previous models, do not require a ``fine-tuning'' for the microphysical parameters present in the effective potential. These scenarios rest on a Brans-Dicke-type theory, where a nonminimal coupling of the form f(cphi)R is assumed, and it may or may not include a potential for the Brans-Dicke field. In its classical description, different extended inflationary universe scenarios are described, where anisotropy is taken into account. By using the Hartle-Hawking and the Vilenkin boundary conditions for the wave function of the Universe, the probability distributions for the initial states of these extended models in the case of a small anisotropy are determined and discussed.

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