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Title: Past incompleteness of a bouncing multiverse

Abstract

According to classical GR, Anti-de Sitter (AdS) bubbles in the multiverse terminate in big crunch singularities. It has been conjectured, however, that the fundamental theory may resolve these singularities and replace them by nonsingular bounces. This may have important implications for the beginning of the multiverse. Geodesics in cosmological spacetimes are known to be past-incomplete, as long as the average expansion rate along the geodesic is positive, but it is not clear that the latter condition is satisfied if the geodesic repeatedly passes through crunching AdS bubbles. We investigate this issue in a simple multiverse model, where the spacetime consists of a patchwork of FRW regions. The conclusion is that the spacetime is still past-incomplete, even in the presence of AdS bounces.

Authors:
;  [1]
  1. Institute of Cosmology, Department of Physics and Astronomy, Tufts University, Medford, MA 02155 (United States)
Publication Date:
OSTI Identifier:
22373516
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2014; Journal Issue: 06; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ANTI DE SITTER GROUP; ANTI DE SITTER SPACE; BUBBLES; EXPANSION; GEODESICS; SINGULARITY; SPACE-TIME

Citation Formats

Vilenkin, Alexander, and Zhang, Jun. Past incompleteness of a bouncing multiverse. United States: N. p., 2014. Web. doi:10.1088/1475-7516/2014/06/034.
Vilenkin, Alexander, & Zhang, Jun. Past incompleteness of a bouncing multiverse. United States. https://doi.org/10.1088/1475-7516/2014/06/034
Vilenkin, Alexander, and Zhang, Jun. 2014. "Past incompleteness of a bouncing multiverse". United States. https://doi.org/10.1088/1475-7516/2014/06/034.
@article{osti_22373516,
title = {Past incompleteness of a bouncing multiverse},
author = {Vilenkin, Alexander and Zhang, Jun},
abstractNote = {According to classical GR, Anti-de Sitter (AdS) bubbles in the multiverse terminate in big crunch singularities. It has been conjectured, however, that the fundamental theory may resolve these singularities and replace them by nonsingular bounces. This may have important implications for the beginning of the multiverse. Geodesics in cosmological spacetimes are known to be past-incomplete, as long as the average expansion rate along the geodesic is positive, but it is not clear that the latter condition is satisfied if the geodesic repeatedly passes through crunching AdS bubbles. We investigate this issue in a simple multiverse model, where the spacetime consists of a patchwork of FRW regions. The conclusion is that the spacetime is still past-incomplete, even in the presence of AdS bounces.},
doi = {10.1088/1475-7516/2014/06/034},
url = {https://www.osti.gov/biblio/22373516}, journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 06,
volume = 2014,
place = {United States},
year = {Sun Jun 01 00:00:00 EDT 2014},
month = {Sun Jun 01 00:00:00 EDT 2014}
}