On the initial conditions for super-exponential inflation |
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| Affiliation: | 1. Department of Mathematics, Institute of Applied Sciences & Humanities, GLA University, Mathura 281406, Uttar Pradesh, India;2. IcfaiTech, Faculty of Science and Technology, The ICFAI University, Jaipur 302031, Rajasthan, India;1. Universitá degli Studi di Salerno, Via Giovanni Paolo II, 132, Fisciano, Italy;2. DICATAM, Università degli Studi di Brescia, Via Branze 43, Brescia, Italy |
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| Abstract: | 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. |
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