Chaotic Inflation with Time-Variable Space Dimensions

Abstract

Assuming the space dimension is not constant but decreases during the expansion of the Universe, we study chaotic inflation with the potential $m^2{\varphi }^2/2$. Our investigations are based on a model Universe with variable space dimensions. We write down field equations in the slow-roll approximation, and define slow-roll parameters by assuming the number of space dimensions decreases continuously as the Universe expands. The dynamical character of the space dimension shifts the initial and final value of the inflaton field to larger values. We obtain an upper limit for the space dimension at the Planck length. This result is in agreement with previous works for the effective time variation of the Newtonian gravitational constant in a model Universe with variable space dimensions.

19 pages, To be published in Int.J.Mod.Phys.D. Minor changes to match accepted version

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• Delayed Recombination
• Effective time variation of G in a model universe with variable space dimension
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Cited by in corpus (5)

• Noncommutative Decrumpling Inflation and Running of the Spectral Index
• Dynamics of Chaotic Inflation with Variable Space Dimension
• Dynamics of inflationary cosmology in TVSD model
• Time variation of the fine structure constant in decrumpling or TVSD model
• Chaotic Inflation with Variable Space Dimensions