Scale Factor Dualities in Anisotropic Cosmologies

Abstract

The concept of scale factor duality is considered within the context of the spatially homogeneous, vacuum Brans-Dicke cosmologies. In the Bianchi class A, it is found that duality symmetries exist for the types I, II, VI_0, VII_0, but not for types VIII and IX. The Kantowski-Sachs and locally rotationally symmetric Bianchi type III models also exhibit a scale factor duality, but no such symmetries are found for the Bianchi type V. In this way anisotropy and spatial curvature may have important effects on the nature of such dualities.

28 pages, Latex source

References in corpus (4)

• Duality and Dilaton
• Vacuum fluctuations in axion-dilaton cosmologies
• Inhomogeneous Pre-Big Bang String Cosmology
• Notes on Axion, Inflation and Graceful Exit in Stringy Cosmology

Cited by in corpus (9)

• The Pre-Big Bang Scenario in String Cosmology
• Supersymmetric Quantization of Anisotropic Scalar-Tensor Cosmologies
• Can the Type-IIB axion prevent Pre-big Bang inflation?
• Exact Kantowski-Sachs spacetimes in Einstein-Aether Scalar field theory
• On the relation between boundary proposals and hidden symmetries of the extended pre-big bang quantum cosmology
• Scale-factor duality in string Bianchi cosmologies
• The initial fate of an anisotropic JBD universe
• Supersymmetry and Quantum Cosmology
• Isotropic evolution of a JBD anisotropic Bianchi universe