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Figure 1:
Examples for bouncing solutions with positive curvature (left) or a negative potential (right, negative cosmological constant). The solid lines show solutions of effective equations with a bounce, while the dashed lines show classical solutions running into the singularity at ![]() ![]() |
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Figure 2:
Example for a solution of ![]() ![]() |
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Figure 3:
Movie showing the initial push of a scalar ![]() ![]() |
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Figure 4:
Movie illustrating the Bianchi IX potential (37 ![]() ![]() ![]() ![]() ![]() |
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Figure 5:
Movie illustrating the Bianchi IX potential in the anisotropy plane and its exponentially rising walls. Positive values of the potential are drawn logarithmically with solid contour lines and negative values with dashed contour lines. |
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Figure 6:
Approximate effective wall of finite height [60] as a function of ![]() ![]() ![]() |
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Figure 7:
Movie illustrating the effective Bianchi IX potential and the movement and breakdown of its walls. The contours are plotted as in Figure 4. |
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Figure 8:
Movie illustrating the effective Bianchi IX potential in the anisotropy plane and its walls of finite height, which disappear at finite volume. Positive values of the potential are drawn logarithmically with solid contour lines and negative values with dashed contour lines. |
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Figure 9:
Discrete subset of eigenvalues of ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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Figure 10:
Movie showing the coordinate time evolution [72] of a wave packet starting at the bottom and moving toward the classical singularity (vertical dotted line) for different values of an ambiguity parameter. Some part of the wave packet bounces back (and deforms) according to the effective classical solution (dashed), but other parts penetrate to negative ![]() ![]() ![]() ![]() |
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http://www.livingreviews.org/lrr-2005-11 |
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