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The tunneling universe in scalar–tensor theory with matter: II

Sunggeun Lee

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In this paper, the wavefunction of the universe with a tunneling boundary condition is considered in the context of the Brans–Dicke-type theory with matter. In the \gamma=0 (matter) case, the action is invariant under the field redefinition which is a sort of generalization of the scale factor duality. The universe undergoes quantum transition from a super-inflationary (pre-big bang) to a deflationary (post-big bang) phase. We calculate the transition rate from the wavefunction by solving the Wheeler–DeWitt equation and obtain a non-vanishing value. We learn that for a special value of the Brans–Dicke parameter the transition rate grows heavily. From the ten-dimensional string theory point of view this happens when three-dimensional branes (D3-brane) become dominant.


PACS

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

11.25.Uv D branes

MSC

83E30 String and superstring theories (See also 81T30)

83F05 Cosmology

Subjects

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 5 (March 2008)

Received 11 October 2007, in final form 18 January 2008

Published 15 February 2008



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