A probability measure for FLRW models

Mathematics – Logic

Scientific paper

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Scientific paper

We use Jaynes' principle to find new probability measures for ensembles of open and closed dust-FLRW models and generalize the results to a γ-equation of state. For big-bang solutions the measures are non-integrable at Ω0 = 1 and Ω0 = ∞. Together with additional restrictions on the possible values of the cosmological constant Λ, these measures can solve the flatness problem.

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