Green's functions for gravitational waves in FRW spacetimes.
Green's functions for gravitational waves in FRW spacetimes.
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FRW 时空引力波的格林函数。
DOI：
10.1103/physrevd.48.4688
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发表时间：
1993
期刊：
影响因子：
--
通讯作者：
Robert R. Caldwell
中科院分区：
文献类型：
--
作者：
Robert R. Caldwell
本文在线性化的爱因斯坦引力理论下，给出了Friedmann-Robertson-步行者时空中引力波方程的延迟绿色函数的计算方法。阿达玛的柯西问题的一般解决方案的二阶，线性偏微分方程的FRW引力波方程。延迟的绿色函数可以计算任何FRW时空，弯曲或平坦的空间部分，其中里奇标量曲率的函数形式[ital R]是已知的。首次解析计算了引力波在由辐射和尘埃组成的宇宙流体中传播的延迟绿色函数。它还表明，对于所有的FRW时空中的Ricci标量曲率不为零，[ital R][ne]0，绿色的功能违反惠更斯原理;绿色的功能有支持内的光锥由于散射的引力波的背景曲率。
A method for calculating the retarded Green's function for the gravitational wave equation in Friedmann-Robertson-Walker spacetimes within the formalism of linearized Einstein gravity is developed. Hadamard's general solution to Cauchy's problem for second-order, linear partial differential equations is applied to the FRW gravitational wave equation. The retarded Green's function may be calculated for any FRW spacetime, with curved or flat spatial sections, for which the functional form of the Ricci scalar curvature [ital R] is known. The retarded Green's function for gravitational waves propagating through a cosmological fluid composed of both radiation and dust is calculated analytically for the first time. It is also shown that for all FRW spacetimes in which the Ricci scalar curvature does not vanish, [ital R][ne]0, the Green's function violates Huygens' principle; the Green's function has support inside the light cone due to the scattering of gravitational waves off the background curvature.