论文标题
在Kerr Spacetime中线性化重力的一类保守电流
A class of conserved currents for linearized gravity in the Kerr spacetime
论文作者
论文摘要
我们在KERR背景上构建了一类保守电流，用于线性化重力。我们的程序是由卡特（Carter，1977）发现的标量场的电流激励的，是通过将解决方案的溶液的符号乘积带到由对称运算符定义的线性化的爱因斯坦方程中。我们考虑与Teukolsky方程中变量分离的对称算子以及由于爱因斯坦方程的自我伴侣性质而产生的对称算子。在几何光学限制中，与这些电流相关的电荷减少到其Carter常数正幂的重力上的总和，就像标量场的保守电流一样。我们此外，通过零无穷大和地平线计算这些保守电流的通量，并确定哪些是有限的。
We construct a class of conserved currents for linearized gravity on a Kerr background. Our procedure, motivated by the current for scalar fields discovered by Carter (1977), is given by taking the symplectic product of solutions to the linearized Einstein equations that are defined by symmetry operators. We consider symmetry operators that are associated with separation of variables in the Teukolsky equation, as well as those arising due the self-adjoint nature of the Einstein equations. In the geometric optics limit, the charges associated with these currents reduce to sums over gravitons of positive powers of their Carter constants, much like the conserved current for scalar fields. We furthermore compute the fluxes of these conserved currents through null infinity and the horizon and identify which are finite.
