标题： 引力相对论ADM-Vielbein形式主义中的局域洛伦兹变换生成元 显示英文标题

标题： Generators of Local Lorentz Transformation in ADM-Vielbein Formalism of Gravitational Relativity

摘要： 广义相对论在ADM-Vielbein形式化框架下包含16个变量，比度规形式多了6个变量。 这些变量的出现是由于局域洛伦兹变换的额外对称性。 在哈密顿方法的框架内，预计会找到生成这种规范对称性的第一类约束。 我们引入了这类约束的完整形式，并证明它们严格遵循洛伦兹群的代数结构。 显示英文摘要

摘要： General relativity contains 16 variables in the framework of ADM-Vielbein formalism which are 6 more than metric formalism. These variables emerge due to additional symmetry of Local Lorentz Transformations. In the framework of the Hamiltonian approach, it is expected to find first class constraints which generate this gauge symmetry. We introduce the complete form of such constraints and show that they exactly obey the algebra of the Lorentz group.