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arXiv · 1208.3828

The Big Trip and Wheeler-DeWitt equation

Artyom V. Yurov·Artyom V. Astashenok·Valerian A. Yurov
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Abstract

Of all the possible ways to describe the behavior of the universe that has undergone a big trip the Wheeler-DeWitt equation should be the most accurate -- provided, of course, that we employ the correct formulation. In this article we start by discussing the standard formulation introduced by González-Díaz and Jimenez-Madrid, and show that it allows for a simple yet efficient method of the solution's generation, which is based on the Moutard transformation. Next, by shedding the unnecessary restrictions, imposed on aforementioned standard formulation we introduce a more general form of the Wheeler-DeWitt equation. One immediate prediction of this new formula is that for the universe the probability to emerge right after the big trip in a state with $w=w_0$ will be maximal if and only if $w_0=-1/3$.

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Artyom V. Yurov, Artyom V. Astashenok, Valerian A. Yurov. 2012-08-19. The Big Trip and Wheeler-DeWitt equation. https://doi.org/10.1007/s10509-012-1211-6

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