Solving the Flatness and Quasi-flatness Problems in Brans-Dicke Cosmologies with a Varying Light Speed

Abstract

We define the flatness and quasi-flatness problems in cosmological models. We seek solutions to both problems in homogeneous and isotropic Brans-Dicke cosmologies with varying speed of light. We formulate this theory and find perturbative, non-perturbative, and asymptotic solutions using both numerical and analytical methods. For a particular range of variations of the speed of light the flatness problem can be solved. Under other conditions there exists a late-time attractor with a constant value of Ωthat is smaller than, but of order, unity. Thus these theories may solve the quasi-flatness problem, a considerably more challenging problem than the flatness problem. We also discuss the related Λand quasi-Λproblem in these theories. We conclude with an appraisal of the difficulties these theories may face.

21 pages, 6 figures

References in corpus (8)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• The High-Z Supernova Search: Measuring Cosmic Deceleration and Global Cur vature of the Universe Using Type Ia Supernovae
• A Search for Time Variation of the Fine Structure Constant
• Constraints on Cosmological Models from Hubble Space Telescope Observations of High-z Supernovae
• Varying-$\alpha$ Theories and Solutions to the Cosmological Problems
• Solutions to the Quasi-flatness and Quasi-lambda Problems
• New Limits on the Possible Variation of Physical Constants

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