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arXiv · 0707.1088

An Inflationary Non-singular Quantum Cosmological Model

Felipe T. Falciano·Nelson Pinto-Neto·E. Sergio Santini
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Abstract

A stiff matter-dominated universe modeled by a free massless scalar field minimally coupled to gravity in a Friedmann-Lema\^ıtre-Robertson-Walker (FLRW) geometry is quantized. Generalized complex-width gaussian superpositions of the solutions of the Wheeler-DeWitt equation are constructed and the Bohm-de Broglie interpretation of quantum cosmology is applied. A planar dynamical system is found in which a diversity of quantum bohmian trajectories are obtained and discussed. One class of solutions represents non-singular inflationary models starting at infinity past from flat space-time with Planckian size spacelike hypersurfaces, which inflates without inflaton but due to a quantum cosmological effect, until it makes an analytical graceful exit from this inflationary epoch to a decelerated classical stiff matter expansion phase.

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Felipe T. Falciano, Nelson Pinto-Neto, E. Sergio Santini. 2007-09-11. An Inflationary Non-singular Quantum Cosmological Model. https://doi.org/10.1103/physrevd.76.083521

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