Solving the flatness and quasiflatness problems in Brans-Dicke cosmologies with a varying light speed

Jan, 1999
18 pages
Published in:
  • Class.Quant.Grav. 16 (1999) 1435-1454
e-Print:

Citations per year

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Abstract: (arXiv)
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.
  • cosmological model
  • Brans-Dicke model
  • photon: velocity
  • field equations: solution
  • perturbation theory
  • nonperturbative
  • asymptotic behavior
  • cosmological constant
  • gravitation: fundamental constant
  • numerical calculations
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