Maxwellian theory of gravitational waves and their mechanical properties
Maxwellian theory of gravitational waves and their mechanical properties
复制标题
DOI：
10.1088/1367-2630/16/2/023027
复制
发表时间：
2014-02
影响因子：
3.3
通讯作者：
S. Barnett
中科院分区：
文献类型：
--
作者：
S. Barnett
我们提出了平面背景中引力波的麦克斯韦形式的理论。这就要求我们确定光的电场和磁场的引力类比。然而，一个重要的新奇之处在于，我们的类似物不是矢量场，而是二阶张量场；我们的场不是空间中每个点的三分量向量，而是每个点上的三乘三对称矩阵。由此得到的麦克斯韦方程直接导致了与引力波相关的局域能量密度的Poynting定理，以及相关的局域性质，包括动量密度和角动量密度。
We present a theory in Maxwellian form for gravitational waves in a flat background. This requires us to identify the gravitational analogues of the electric and magnetic fields for light. An important novelty, however, is that our analogues are not vector fields but rather rank-two tensor fields; in place of a three-component vector at each point in space, as in electromagnetism, our fields are three by three symmetric matrices at each point. The resulting Maxwell-like equations lead directly to a Poynting theorem for the local energy density associated with a gravitational wave and to associated local properties including densities of momentum and angular momentum.