Inflation in Bianchi models and the cosmic no hair theorem in brane world

Abstract

In this paper, the cosmic no hair theorem for anisotropic Bianchi models which admit inflation with a scalar field is studied in the framework of Brane world. It is found that all Bianchi models except Bianchi type IX, transit to an inflationary regime with vanishing anisotropy. In the Brane world, anisotropic universe approaches the inflationary era much faster than that in the general theory of relativity. The form of the potential does not affect the evolution in the inflationary epoch. However, the late time behaviour is controlled by a constant additive factor in the potential for the inflaton field.

12 pages, no figures, submitted to Phys. Rev. D

References in corpus (6)

• Evolution of Cosmological Models in the Brane-world Scenario
• Isotropy and Stability of the Brane
• Kasner-AdS spacetime and anisotropic brane-world cosmology
• The shear dynamics in Bianchi I cosmological model on the brane
• Inflationary Cosmologies in an Anisotropic Brane World
• Exact Inflation Braneworlds

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• Braneworld cosmological models with anisotropy
• Brane cosmology with an anisotropic bulk
• Anisotropy and inflation in Bianchi I brane worlds
• Thick Brane Isotropization in a Generalized 5D Anisotropic Standing Wave Braneworld Model
• Anisotropic Inflation in a 5D Standing Wave Braneworld and Dimensional Reduction
• Cosmic No Hair for Braneworlds with a Bulk Dilaton Field
• On asymptotic behavior of anisotropic Dvali-Gabadadze-Porrati branes
• Power Law Inflation and the Cosmic No Hair Theorem in Brane World