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Prog. Theor. Phys. Vol. 69 No. 1 (1983) pp. 89-99

[ Full Text PDF : FREE ACCESS (405K) ]

Void in the Closed Universe

Kei-ichi Maeda, Misao Sasaki and Humitaka Sato

Research Institute for Fundamental Physics, Kyoto University, Kyoto 606

(Received August 27, 1982)

Abstract:

The evolution of a low density spherically symmetric region, which we call a void, in the high density closed universe is investigated. This void expands forever while the unperturbed region collapses finally. The enlargement factor of the void is given and the global structure of a model universe with one void is analysed.


URL : http://ptp.ipap.jp/link?PTP/69/89/
DOI : 10.1143/PTP.69.89

[ Full Text PDF : FREE ACCESS (405K) ] Citation:

References:

  1. H. Sato, Prog. Theor. Phys. 68 (1982), 236[PTP].
  2. A. Einstein and E. G. Straus, Rev. Mod. Phys. 17 (1945), 120[APS].
  3. R. T. Jantzen and R. Ruffini, Phys. Lett. B 104 (1981), 373[CrossRef].
  4. For example, see p. 159 in D. Kramer, H. Stephani, E. Herlt and M. MacCallum, Exact Solution of Einstein's Field Equations (Cambridge Univ. Press, 1980).
  5. S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space-Time (Cambridge Univ. Press, 1973).
  6. A. Qadir and J. A. Wheeler, Memorial Volume Dedicated to J. Geheniau, ed. by R. Debeber and M. Demeur (Univ. Brussel Press, 1981).
  7. R. W. Lindquist and J. A. Wheeler, Rev. Mod. Phys. 29 (1957), 432[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 70 No. 1 (1983) pp. 119-127 :
    The Expansion Law of the Void in the Expanding Universe
    Humitaka Sato and Kei-ichi Maeda
  2. Progress of Theoretical Physics Vol. 70 No. 3 (1983) pp. 772-782 :
    Expansion of a Thin Shell around a Void in Expanding Universe
    Kei-ichi Maeda and Humitaka Sato
  3. Progress of Theoretical Physics Vol. 70 No. 5 (1983) pp. 1276-1282 :
    Expansion of a Thin Shell around a Void in Expanding Universe. II
    Kei-ichi Maeda and Humitaka Sato
  4. Progress of Theoretical Physics Vol. 71 No. 4 (1984) pp. 855-858 :
    Topology of Supercluster-Void Structure
    Takuya Matsuda and Eiji Shima
  5. Progress of Theoretical Physics Vol. 71 No. 5 (1984) pp. 938-945 :
    Expansion of Voids in a Matter-Dominated Universe
    Yasushi Suto, Katsuhiko Sato and Humitaka Sato
  6. Progress of Theoretical Physics Vol. 89 No. 6 (1993) pp. 1193-1201 :
    Expanding Shell around a Void and Universe Model
    Nobuyuki Sakai, Kei-ichi Maeda and Humitaka Sato
  7. Progress of Theoretical Physics Vol. 101 No. 5 (1999) pp. 989-1000 :
    Collision of Time-Like Shells in Spherically Symmetric Spacetime
    Daisuke Ida and Ken-ichi Nakao
  8. Progress of Theoretical Physics Supplement No. 172 (2008) pp. 40-43 :
    Voids in the Distribution of Galaxies and the Cosmological Constant
    Roland Triay and Henri-Hugues Fliche

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