Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-07-09
Phys.Rev.D76:083521,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
10 pages, 5 figures. Some changes in the conclusion, some references added. Last version, accepted for publication in PRD
Scientific paper
10.1103/PhysRevD.76.083521
A stiff matter-dominated universe modeled by a free massless scalar field minimally coupled to gravity in a Friedmann-Lema\^{\i}tre-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.
Falciano Felipe T.
Pinto-Neto Nelson
Santini Eduardo Sergio
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