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A probability measure for FLRW models

U Kirchner and G F R Ellis

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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 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.


PACS

04.20.-q Classical general relativity

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

MSC

83F05 Cosmology

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 6 (21 March 2003)

Received 20 November 2002

Published 3 March 2003



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