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Title: Measure problem for eternal and non-eternal inflation

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.

Authors:
;  [1]
  1. Department of Physics, Stanford University, Stanford, CA 94305 (United States)
Publication Date:
OSTI Identifier:
22275422
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2010; Journal Issue: 09; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; COSMOLOGY; INFLATIONARY UNIVERSE; INTERPOLATION; PROBABILITY; VARIATIONS

Citation Formats

Linde, Andrei, and Noorbala, Mahdiyar. Measure problem for eternal and non-eternal inflation. United States: N. p., 2010. Web. doi:10.1088/1475-7516/2010/09/008.
Linde, Andrei, & Noorbala, Mahdiyar. Measure problem for eternal and non-eternal inflation. United States. https://doi.org/10.1088/1475-7516/2010/09/008
Linde, Andrei, and Noorbala, Mahdiyar. Wed . "Measure problem for eternal and non-eternal inflation". United States. https://doi.org/10.1088/1475-7516/2010/09/008.
@article{osti_22275422,
title = {Measure problem for eternal and non-eternal inflation},
author = {Linde, Andrei and Noorbala, Mahdiyar},
abstractNote = {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.},
doi = {10.1088/1475-7516/2010/09/008},
url = {https://www.osti.gov/biblio/22275422}, journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 09,
volume = 2010,
place = {United States},
year = {2010},
month = {9}
}