论文标题
在引力波的存在下弹性物体的相对论理论
Relativistic Theory of Elastic Bodies in the Presence of Gravitational Waves
论文作者
论文摘要
由重力波引起的材料的小弹性振荡的运动方程来自卡特和金塔纳的一般框架。在横向无关仪表中，不存在散装力，并且发现引力波充当有效的表面牵引力。对于细杆，给出了等效的描述，其中没有表面牵引力，而是散装加速度，这与重力波的riemann曲率有关。将所得的方程式与Synge-Bennoun弹性理论的方程式进行了比较。
The equations of motion governing small elastic oscillations of materials, induced by gravitational waves, are derived from the general framework of Carter and Quintana. In transverse-traceless gauge, no bulk forces are present, and the gravitational wave is found to act as an effective surface traction. For thin rods, an equivalent description is given, in which there is no surface traction, but a bulk acceleration, which is related to the Riemann curvature of the gravitational wave. The resulting equations are compared to those of the Synge-Bennoun elasticity theory.
