论文标题
对一致的一般相对论的ADM配方和哈密顿分析
ADM formulation and Hamiltonian analysis of Coincident General Relativity
论文作者
论文摘要
我们认为基于非物质性(称为一致的一般相对论)的一般相对性的几何形式。我们研究该理论的ADM表述,并进行详细的哈密顿分析。我们明确显示了两个物理自由度的传播,即使边界项和规格条件的作用发生了重大改变,也应该如此。这可能代表了数值相对论和规范量子重力的另一种有希望的新途径。我们还对非金属标量的非线性扩展的传播自由度数量进行前景。
We consider a simpler geometrical formulation of General Relativity based on non-metricity, known as Coincident General Relativity. We study the ADM formulation of the theory and perform a detailed Hamiltonian analysis. We explicitly show the propagation of two physical degrees of freedom, as it should, even though the role of boundary terms and gauge conditions is significantly altered. This might represent an alternative promising new route for numerical relativity and canonical quantum gravity. We also give an outlook on the number of propagating degrees of freedom in non-linear extension of non-metricity scalar.