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Kaluza-Klein bubble like structure and celestial sphere in the inflationary universe

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Abstract

We consider five dimensional deSitter spacetimes with a deficit angle due to the presence of a closed 2-brane and identify one dimension as an extra dimension. From the four dimensional viewpoint we can see that the spacetime has a structure similar to a Kaluza-Klein bubble of nothing, that is, four dimensional spacetime ends at the 2-brane. Since a spatial section of the full deSitter spacetime has the topology of a sphere, the boundary surface surrounds the remaining four dimensional spacetime, and can be considered as the celestial sphere. After the spacetime is created from nothing via an instanton which we describe, some four dimensional observers in it see the celestial sphere falling down, and will be in contact with a 2-brane attached on it.

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Authors and Affiliations

  1. Department of Physics, Tokyo Institute of Technology, Tokyo, 2-12-1, Japan

    Tetsuya Shiromizu

  2. Department of Physics, Osaka City University, 3-3-138, Sugimoto, Sumiyoshiku, Osaka City, Osaka, 113-0033, Japan

    Shinya Tomizawa

  3. Department of Physics, Tokyo Institute of Technology, Tokyo 2-12-1, Oookayama, Meguroku, Tokyo, 152-8551, Japan

    Yuki Uchida

  4. Department of Physics, The University of Tokyo, Tokyo, 113-0033, Japan

    Shinji Mukohyama

Authors
  1. Tetsuya Shiromizu
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  2. Shinya Tomizawa
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  3. Yuki Uchida
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  4. Shinji Mukohyama
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Correspondence to Shinya Tomizawa.

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Shiromizu, T., Tomizawa, S., Uchida, Y. et al. Kaluza-Klein bubble like structure and celestial sphere in the inflationary universe. Gen Relativ Gravit 37, 1823–1831 (2005). https://doi.org/10.1007/s10714-005-0162-4

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  • DOI: https://doi.org/10.1007/s10714-005-0162-4

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