### Abstract

We found a solution for the torsion tensor in a six-dimensional Poincaré gauge theory of gravitation. This torsion tensor supports a Riemann-Cartan geometry which is the product of a minkowskian four-space and a two-sphere whose radius is determined by the field equations to be of the order of the Planck length. This solution exists when there are some restrictions on the parameters of the lagrangian of the theory.

Original language | English |
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Pages (from-to) | 201-204 |

Number of pages | 4 |

Journal | Physics Letters B |

Volume | 140 |

Issue number | 3-4 |

DOIs | |

Publication status | Published - 1984 Jun 7 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Physics Letters B*,

*140*(3-4), 201-204. https://doi.org/10.1016/0370-2693(84)90920-1

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*Physics Letters B*, vol. 140, no. 3-4, pp. 201-204. https://doi.org/10.1016/0370-2693(84)90920-1

**Spontaneous compactification in a six-dimensional Poincaré gauge field theory of gravitation.** / Chen, Ming Quey; Hsu, Rue-Ron; Yeung, Wai Bong.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Spontaneous compactification in a six-dimensional Poincaré gauge field theory of gravitation

AU - Chen, Ming Quey

AU - Hsu, Rue-Ron

AU - Yeung, Wai Bong

PY - 1984/6/7

Y1 - 1984/6/7

N2 - We found a solution for the torsion tensor in a six-dimensional Poincaré gauge theory of gravitation. This torsion tensor supports a Riemann-Cartan geometry which is the product of a minkowskian four-space and a two-sphere whose radius is determined by the field equations to be of the order of the Planck length. This solution exists when there are some restrictions on the parameters of the lagrangian of the theory.

AB - We found a solution for the torsion tensor in a six-dimensional Poincaré gauge theory of gravitation. This torsion tensor supports a Riemann-Cartan geometry which is the product of a minkowskian four-space and a two-sphere whose radius is determined by the field equations to be of the order of the Planck length. This solution exists when there are some restrictions on the parameters of the lagrangian of the theory.

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UR - http://www.scopus.com/inward/citedby.url?scp=48549111267&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(84)90920-1

DO - 10.1016/0370-2693(84)90920-1

M3 - Article

VL - 140

SP - 201

EP - 204

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3-4

ER -