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A probability measure for FLRW models

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CLASSICAL AND QUANTUM GRAVITY
卷 20, 期 6, 页码 1199-1213

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IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/20/6/311

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We use Jaynes' principle to find new probability measures for ensembles of open and closed dust-FLRW models and generalize the results to a gamma-equation of state. For big-bang solutions the measures are non-integrable at Omega(0) = 1 and Omega(0) = infinity. Together with additional restrictions on the possible values of the cosmological constant Lambda, these measures can solve the flatness problem.

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