Astronomy and Astrophysics – Astrophysics
Scientific paper
1999-01-05
Class.Quant.Grav.16:1435-1454,1999
Astronomy and Astrophysics
Astrophysics
21 pages, 6 figures
Scientific paper
10.1088/0264-9381/16/4/030
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 \Omega that 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 \Lambda and quasi-\Lambda problem in these theories. We conclude with an appraisal of the difficulties these theories may face.
Barrow John D.
Magueijo Joao
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