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Inflationary Solutions in Quantum Cosmology
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We prove that in the Hartle-Hawking approach to quantum cosmology the existence of an inflationary phase is a general property of minisuperspace models given by a closed Friedmann-Robertson-Walker universe containing a massless scalar field with a $\lambda\phi^{n}$ self-interaction. The evolution in time of the cosmic scale factor and of the scalar field in the very early universe is derived, together with the conditions to be satisfied in order to solve the horizon and flatness problems.
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Cited by 1 Pith paper
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Simple Analytical Solutions of the Wheeler-DeWitt Equation in the Classical Hamilton-Jacobi Limit
Imposing |Ψ|=1 on the Wheeler-DeWitt wave function determines the scalar potential form and yields analytical solutions for the scale factor and field in the cosine case with negative cosmological constant.
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