On the initial conditions for super-exponential inflation

Physics

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In a higher-dimensional theory of gravity containing higher-derivative terms and a cosmological constant, a period of super-exponential inflation of the physical spacetime is possible, during which the Hubble parameter H increases with time, as discovered by Shafi and Wetterich. This means that the initial value H0 must be small H0 < 6 × 10-5mp. We discuss the meaning of this initial condition from the standpoint of quantum cosmology.
The author would like to thank Professor J.V. Narlikar for hospitality and financial support from the Tata Institute of Fundamental Research at Bombay, and the Royal Society of London for financial (travel) support.

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