Compact hyperbolic universe and singularities

Akihiro Ishibashi, Tatsuhiko Koike, Masaru Siino, Sadayoshi Kojima

Research output: Contribution to journalArticle

6 Citations (Scopus)


Recently many people have discussed the possibility that the universe is hyperbolic and was in an inflation-ary phase at an early stage. Under these assumptions, it is shown that the universe cannot have compact hyperbolic time slices. Though the universal covering space of the universe has a past Cauchy horizon and can be extended analytically beyond it, the extended region has densely many points which correspond to singu-larities of the compact universe. The result is essentially attributed to the ergodicity of the geodesic flow on a compact negatively curved manifold. The relationship with the strong cosmic censorship conjecture also is discussed.

Original languageEnglish
Pages (from-to)7303-7310
Number of pages8
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number12
Publication statusPublished - 1996 Dec 15


ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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