论文标题
物质重力波模式
Gravitational wave modes in matter
论文作者
论文摘要
得出了传播物质的分散引力波（GWS）的一般线性量规不变方程。该方程式在相同的基础上描述了通常的张量模式和重力与物质强烈耦合的重力模式。结果表明，物质对前者的影响与衍射相当，因此在几何镜近似中可以忽略不计。但是，由于其较大的折射率，该近似值适用于与物质强烈耦合的模式。使用动力学平均拉格朗日方法和我们之前引入的物质的引力极化性研究了理想气体中的GWS。特别是，我们表明这种配方将动力牛仔裤作为具有特殊极化的集体GW模式的不稳定性，该模式是从分散矩阵而不是先验化的。这构成了系统地将GW理论扩展到GW与等离子体的相互作用的基础，在这种情况下，仅对称考虑因素不足以预测波浪极化。
A general linear gauge-invariant equation for dispersive gravitational waves (GWs) propagating in matter is derived. This equation describes, on the same footing, both the usual tensor modes and the gravitational modes strongly coupled with matter. It is shown that the effect of matter on the former is comparable to diffraction and therefore negligible within the geometrical-optics approximation. However, this approximation is applicable to modes strongly coupled with matter due to their large refractive index. GWs in ideal gas are studied using the kinetic average-Lagrangian approach and the gravitational polarizability of matter that we have introduced earlier. In particular, we show that this formulation subsumes the kinetic Jeans instability as a collective GW mode with a peculiar polarization, which is derived from the dispersion matrix rather than assumed a priori. This forms a foundation for systematically extending GW theory to GW interactions with plasmas, where symmetry considerations alone are insufficient to predict the wave polarization.
