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The Generalized Lagrangians of Gravitational Theory With Torsion and Their Invariances Under (ε^(mn), ξ~μ) Transformations

The Generalized Lagrangians of Gravitational Theory With Torsion and Their Invariances Under (ε^(mn), ξ~μ) Transformations
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摘要 The generalized Lagrangians of matter field and gravitational fields are specified and their invariances under (ε^(mn), ξ~μ) transformations in the space-time with torsion are studied. The possible forms of coupling between gravitational fields and matter field as well as the possible types of gravitational Lagrangian are derived. Some physical quantities are introduced and several interesting conclusions are discussed. The generalized Lagrangians of matter field and gravitational fields are specified and their invariances under (ε<sup>mn</sup>, ξ<sup>μ</sup>) transformations in the space-time with torsion are studied. The possible forms of coupling between gravitational fields and matter field as well as the possible types of gravitational Lagrangian are derived. Some physical quantities are introduced and several interesting conclusions are discussed.
作者 陈方培
机构地区 Department of Physics
出处 《Science China Mathematics》 SCIE 1993年第10期1226-1237,共12页 中国科学:数学(英文版)
基金 Project supported by the National Natural Science Foundation of China.
关键词 gravitational theory with torsion generalized Lagrangian invariance under (ε^(mn) ζ~μ) transformations vierbein field frame connection field. gravitational theory with torsion generalized Lagrangian invariance under (ε<sup>mn</sup> ζ~μ) transformations vierbein field frame connection field.
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