标题： 引力的二次拉格朗日量的精确非零波状解 显示英文标题

标题： Exact Nonnull Wavelike Solutions to Gravity with Quadratic Lagrangians

摘要： 具有二次拉格朗日量的引力解是在只有非恒定度规分量是时间缩放因子$N$且黎曼张量取形式$R^{t}_{.itj}=-k_{i}k_{j}, i,j=1,2,3$的简单情况下找到的；因此这些解依赖于黎曼张量中的交叉项，从而补充了线性化理论，在线性化理论中起作用的是黎曼张量的导数。 这种度规与Peres的零引力辐射度规之间的关系被给出。 为这些解构造了引力能量坡印廷矢量，其中基于兰佐斯张量的一个矢量支持了线性化理论中的指示，即非零引力辐射可能发生。 显示英文摘要

摘要： Solutions to gravity with quadratic Lagrangians are found for the simple case where the only nonconstant metric component is the lapse $N$ and the Riemann tensor takes the form $R^{t}_{.itj}=-k_{i}k_{j}, i,j=1,2,3$; thus these solutions depend on cross terms in the Riemann tensor and therefore complement the linearized theory where it is the derivatives of the Riemann tensor that matter. The relationship of this metric to the null gravitational radiation metric of Peres is given. Gravitaional energy Poynting vectors are construcetd for the solutions and one of these, based on the Lanczos tensor, supports the indication in the linearized theory that nonnull gravitational radiation can occur.