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Prog. Theor. Phys. Supplement No.110 (1992) pp. 179-190

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What is the Role of Torsion in the Universe?

Takehiko T. Fujishiro, Mitsuo J. Hayashi* and Shoji Takeshita**

Department of Physics, Tokai University, Hiratsuka 259-12
*Department of Physics, Tokai University, Shimizu 424
**Shizuoka Prefectural Institute of Public Health and Environmental Science, Shizuoka 420

Abstract:

The effective action from the heterotic string compactification is studied on the manifolds with absolute parallelism. The cosmic string solutions resulting from the effective action are discussed in analogy with the dislocations in three-dimensional crystalline solid. The cosmic string density is concluded to be given by the torsion tensor of space-time, which gives rise to a compactification at least in one-dimensional direction in space-time. It is shown also the contorsion tensor defines the deficit angle. We have found a stringy solution in a six-dimensional model on M4 × T2 which is compatible with that of Greene at al. and a cylindrically symmetric exact solution is obtained, which are different from the exact cosmic string solutions of the Einstein theory ever proposed. We have also obtained an exact solution in a four-dimensional model on M2 × T2 which can be considered as an example of the compactification on the noncompact Calabi-Yau manifold and may be expected to describe a space-time structure of our universe.


URL : http://ptp.ipap.jp/link?PTPS/110/179/
DOI : 10.1143/PTPS.110.179

[ Full Text PDF : FREE ACCESS (736K) ] Citation:

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