Topology of Classical Vacuum Space-Time(VIII Asia-Pacific International Conference on Gravitation and Astrophysics (ICGA8))

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概要

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• We present a topological classification of vacuum space-time. Viewing Einstein's theory as a gauge theory of Lorentz group and identifying the gravitational connection as the gauge potential of Lorentz group, we construct all possible vacuum gravitational connections which give a vanishing curvature tensor. With this we show that, when the space-time admits a global chart, the vacuum connection has the same topology which describes the multiple vacua of SU(2) gauge theory. This tells that the vacuum space-time can be classified by the knot topology π_3(S^3) = π_3(S^2). We discuss the physical implications, in particular the space-time tunneling, of our result in quantum gravity.

• 2008-07-09

著者

• CHO Yong-Min

  Center for Theoretical Physics and School of Physics, College of Natural Sciences, Seoul National Un

• Cho Yong-min

  Center For Theoretical Physics And School Of Physics College Of Natural Sciences Seoul National Univ

• CHO Yong-Min

  Center for Theoretical Physics and School of Physics, College of Natural Sciences, Seoul National University

関連論文

• Topology of Classical Vacuum Space-Time(VIII Asia-Pacific International Conference on Gravitation and Astrophysics (ICGA8))

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