Effects of anisotropy and spatial curvature on the pre-big bang scenario

Abstract

A class of exact, anisotropic cosmological solutions to the vacuum Brans-Dicke theory of gravity is considered within the context of the pre-big bang scenario. Included in this class are the Bianchi type III, V and VI_h models and the spatially isotropic, negatively curved Friedmann-Robertson-Walker universe. The effects of large anisotropy and spatial curvature are determined. In contrast to negatively curved Friedmann-Robertson-Walker model, there exist regions of the parameter space in which the combined effects of curvature and anisotropy prevent the occurrence of inflation. When inflation is possible, the necessary and sufficient conditions for successful pre-big bang inflation are more stringent than in the isotropic models. The initial state for these models is established and corresponds in general to a gravitational plane wave.

15 pages, including 2 eps figures

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• On Applications of Campbell's Embedding Theorem
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Cited by in corpus (15)

• The Pre-Big Bang Scenario in String Cosmology
• Superstring Cosmology
• Initial Conditions and the Structure of the Singularity in Pre-Big-Bang Cosmology
• String cosmology versus standard and inflationary cosmology
• Inhomogeneous Einstein-Rosen String Cosmology
• Inflation and initial conditions in the pre-big bang scenario
• Colliding String Waves and Duality
• Initial Conditions in String Cosmology
• Qualitative properties of scalar-tensor theories of Gravity
• Back-Reaction to Dilaton-Driven Inflation
• Can the Type-IIB axion prevent Pre-big Bang inflation?
• Tilted String Cosmologies
• Numerical Study of Inhomogeneous Pre-Big-Bang Inflationary Cosmology
• Entropy generation and inflation in wave collision induced pre-big-bang cosmology
• Hamilton-Jacobi approach to pre-big bang cosmology and the problem of initial conditions