Probability of Bianchi type-I inflation

Mathematics – Probability

Scientific paper

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Exact Solutions, Origin And Formation Of The Universe

Scientific paper

The Henneaux-Gibbons-Hawking-Stewart canonical measure is calculated for spatially flat but anisotropically expanding universes (diagonal Bianchi type I) minimally coupled to a homogenous massive scalar field. Both inflationary and noninflationary solutions have infinite measure, giving an ambiguous classical probability for inflation in these models. A one-parameter family of methods for taking the ratio is described, and it is shown how it can give a probability ranging from zero to unity.

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