Wave function with second order correction and inflationary solutions in quantum cosmology.

Mathematics – Probability

Scientific paper

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Cosmology: Inflationary Universe

Scientific paper

A brief account for the higher order wave function in Hartle-Hawking (H-H) proposal is given which is compared with the tunneling wave function due to Vilenkin. The probability distributions are determined for both types of wave functions. Also a class of solutions are evaluated using H-H approach for Kantowski-Sachs metric with a scalar field and inflation is observed.

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