Compact hyperbolic universe and singularities

Akihiro Ishibashi, Tatsuhiko Koike, Masaru Siino, Sadayoshi Kojima

研究成果: Article

6 引用 (Scopus)

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Recently many people have discussed the possibility that the universe is hyperbolic and was in an inflationary 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 singularities 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.

元の言語English
ページ(範囲)7303-7310
ページ数8
ジャーナルPhysical Review D - Particles, Fields, Gravitation and Cosmology
54
発行部数12
DOI
出版物ステータスPublished - 1996 1 1

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ASJC Scopus subject areas

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

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