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Past incompleteness of a bouncing multiverse

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Published 13 June 2014 , , Citation Alexander Vilenkin and Jun Zhang JCAP06(2014)034 DOI 10.1088/1475-7516/2014/06/034

1475-7516/2014/06/034

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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10.1088/1475-7516/2014/06/034