Sunggeun Lee 2008 Class. Quantum Grav. 25 055008 doi:10.1088/0264-9381/25/5/055008
Sunggeun Lee
Show affiliationsIn 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
(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.
Issue 5 (March 2008)
Received 11 October 2007, in final form 18 January 2008
Published 15 February 2008
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