Inflationary Solutions in Quantum Cosmology

Abstract

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 $\lambda {\varphi }^n$ 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.

22 pages, plain-tex, published in Classical and Quantum Gravity, volume 5, year 1988, pages 937-949

Cited by in corpus (5)

• Review of the No-Boundary Wave Function
• Spontaneously Broken SU(5) Symmetries and One-Loop Effects in the Early Universe
• Quantization of the Closed Mini-Superspace Models as Bound States
• Hamiltonian Structure of a Friedmann-Robertson-Walker Universe with Torsion
• On the transition from complex to real scalar fields in modern cosmology