论文标题
SME重力的ADM配方
The ADM Formulation of the SME Gravity
论文作者
论文摘要
研究了标准模型扩展（SME）的重力部门的汉密尔顿公式，并研究了非动力场$ u $和$ s^{μν} $。我们提供了相关的汉密尔顿人，这些哈密顿人描述了Adm Hypersurface上诱导的度量的受限相位空间和动力学。长臂猿及边界术语的概括对于防止汉密尔顿人的度量张量的第二个时间衍生物至关重要。通过从爱因斯坦方程中提取动力学和约束，我们证明了拉格朗日和汉密尔顿公式之间的等效性。
The Hamiltonian formulation of the gravitational sector of the Standard-Model Extension (SME) with nondynamical fields $u$ and $s^{μν}$ is studied. We provide the relevant Hamiltonians that describe the constrained phase space and the dynamics of the induced metric on the ADM hypersurface. The generalization of the Gibbons-Hawking-York boundary term has been crucial to preventing second time-derivatives of the metric tensor in the Hamiltonians. By extracting the dynamics and constraints from the Einstein equations we have proved the equivalence between the Lagrangian and Hamiltonian formulations.
