Torsion Field Equation and Spinor Source : Particles and Fields
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概要
- 論文の詳細を見る
We propose a geometrical theory of gravitation based on a non-orthogonal tetrad field which plays the role of a torsion potential. Starting from the gravitational Lagrangian defined by scalar curvature, we obtain two field equations, the Einstein equation and the torsion field equation. The latter is a second-order differential equation for the torsion potential, and therefore the torsion has acquired a dynamical property. When we consider the torsion coupling to spinor fields, the torsion field equation has a difficulty. We show that this difficulty can be overcome by adding appropriate quadratic terms of the torsion tensor to the Lagrangian. Using the generalized Lagrangian, we study the torsion filed equation and its solution in the weak field approximation.
- 理論物理学刊行会の論文
- 1997-01-25
著者
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Shirafuji Takeshi
Physics Department Saitama University
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Xie Hong-jun
Physics Department Saitama University
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SHIRAFUJI Tadahiko
Department of Physics, Chiba University
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SHIRAFUJI Takeshi
Physics Department,Saitama University
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XIE Hong-Jun
Physics Department, Saitama University
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