论文标题
双重可实现空间时间的汉密尔顿动态
Hamiltonian dynamics of doubly-foliable space-times
论文作者
论文摘要
2+1+1的时空分解可用于监测空间方向在空间方向上通过对称性单打的空间方向在空间时间中的引力扰动/波的时间演变。这种基于垂直双叶的方法已在暗物质和暗能量动机的标量引力理论的框架中用于讨论球形对称重力的奇数扇区扰动。但是，对于偶数部门，必须抑制垂直度，以便允许合适的规格自由度，从而恢复第10个度量变量。爱因斯坦 - 希尔伯特作用的2+1+1分解导致鉴定规范对，哈密顿量和动量约束。然后，汉密尔顿动态通过泊松支架得出。
The 2+1+1 decomposition of space-time is useful in monitoring the temporal evolution of gravitational perturbations/waves in space-times with a spatial direction singled-out by symmetries. Such an approach based on a perpendicular double foliation has been employed in the framework of dark matter and dark energy motivated scalar-tensor gravitational theories for the discussion of the odd sector perturbations of spherically symmetric gravity. For the even sector however the perpendicularity has to be suppressed in order to allow for suitable gauge freedom, recovering the 10th metric variable. The 2+1+1 decomposition of the Einstein-Hilbert action leads to the identification of the canonical pairs, the Hamiltonian and momentum constraints. Hamiltonian dynamics is then derived via Poisson brackets.
