The usual theory of inflation breaks down in eternal inflation. We derive a dual description of eternal inflation in terms of a deformed Euclidean CFT located at the threshold of eternal inflation. The partition function gives the amplitude of different geometries of the threshold surface in the no-boundary state. Its local and global behavior in dual toy models shows that the amplitude is low for surfaces which are not nearly conformal to the round three-sphere and essentially zero for surfaces with negative curvature. Based on this we conjecture that the exit from eternal inflation does not produce an infinite fractal-like multiverse, but is finite and reasonably smooth.
A. Vilenkin, The Birth of Inflationary Universes, Phys. Rev. D 27 (1983) 2848 [INSPIRE].
S. Winitzki. Eternal inflation, World Scientific (2008).
R. Brout, F. Englert and E. Gunzig, The Creation of the Universe as a Quantum Phenomenon, Annals Phys. 115 (1978) 78 [INSPIRE].
J.B. Hartle and S.W. Hawking, Wave Function of the Universe, Phys. Rev. D 28 (1983) 2960 [INSPIRE].
N. Afshordi, C. Corianò, L. Delle Rose, E. Gould and K. Skenderis, From Planck data to Planck era: Observational tests of Holographic Cosmology, Phys. Rev. Lett. 118 (2017) 041301 [arXiv:1607.04878] [INSPIRE].
B.L. Hu, Scalar Waves in the Mixmaster Universe. I. The Helmholtz Equation in a Fixed Background, Phys. Rev. D 8 (1973) 1048 [INSPIRE].
R. Schoen, Conformal deformation of a Riemannian metric to constant scalar curvature, J. Diff. Geom. 20 (1984) 479.
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
ArXiv ePrint: 1707.07702
About this article
Cite this article
Hawking, S.W., Hertog, T. A smooth exit from eternal inflation?. J. High Energ. Phys. 2018, 147 (2018). https://doi.org/10.1007/JHEP04(2018)147