Past incompleteness of a bouncing multiverse

Alexander Vilenkin; Jun Zhang

doi:10.1088/1475-7516/2014/06/034

Journal of Cosmology and Astroparticle Physics

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Past incompleteness of a bouncing multiverse

Alexander Vilenkin and Jun Zhang

Published 13 June 2014 • Journal of Cosmology and Astroparticle Physics, Volume 2014, June 2014

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Author e-mails

vilenkin@cosmos.phy.tufts.edu

jun.zhang@tufts.edu

Author affiliations

Institute of Cosmology, Department of Physics and Astronomy, Tufts University, Medford, MA 02155, U.S.A.

Dates

Received 31 March 2014
Accepted 19 May 2014
Published 13 June 2014

Citation

Alexander Vilenkin and Jun Zhang JCAP06(2014)034

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DOI

https://doi.org/10.1088/1475-7516/2014/06/034

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http://arxiv.org/abs/1403.1599

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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.

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