The gravitational theory including spinor particle is formulated with the suggestion of tetrad fields [Formula: see text] by Utiyama, Kibble and Weinberg.[Formula: see text] We might take the metric [Formula: see text] as a constraint, that is used the method of Lagrange multiplier. In the weak-field approximation we calculate the metric of a static Dirac spinor particle proton and obtain that the metric is a diagonal [Formula: see text] which coincides with the anticipative result of Newtonian Gravitational potential.

中文翻译：

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静态狄拉克旋量粒子的牛顿势

包括旋量粒子在内的引力理论是根据 Utiyama、Kibble 和 Weinberg 的四分场 [公式：见正文] 的建议制定的。[公式：见正文] 我们可以将度量 [公式：见正文] 作为约束，即采用拉格朗日乘子法。在弱场近似中，我们计算了静态狄拉克旋量粒子质子的度量，得到该度量是对角线[公式：见正文]，这与牛顿万有引力势的预期结果一致。