Chaotic Inflation with Time-Variable Space Dimensions

Details Chaotic Inflation with Time-Variable Space Dimensions Chaotic Inflation with Time-Variable Space Dimensions

2000-08-18

arxiv.org/abs/gr-qc/0008044v2

Int.J.Mod.Phys. D11 (2002) 511-526

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1142/S0218271802001834

Assuming the space dimension is not constant but decreases during the expansion of the Universe, we study chaotic inflation with the potential $m^2\phi^2/2$. 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.

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