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Measure problem for eternal and non-eternal inflation

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Published 9 September 2010 Published under licence by IOP Publishing Ltd
, , Citation Andrei Linde and Mahdiyar Noorbala JCAP09(2010)008 DOI 10.1088/1475-7516/2010/09/008

1475-7516/2010/09/008

Abstract

We study various probability measures for eternal inflation by applying their regularization prescriptions to models where inflation is not eternal. For simplicity we work with a toy model describing inflation that can interpolate between eternal and non-eternal inflation by continuous variation of a parameter. We investigate whether the predictions of four different measures (proper time, scale factor cutoff, stationary and causal diamond) change continuously with the change of this parameter. We will show that only for the stationary measure the predictions change continuously. For the proper-time and the scale factor cutoff, the predictions are strongly discontinuous. For the causal diamond measure, the predictions are continuous only if the stage of the slow-roll inflation is sufficiently long.

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10.1088/1475-7516/2010/09/008