In this paper, we study the properties of gravitational waves in the scalar–tensor–vector gravity theory. The polarizations of the gravitational waves are investigated by analyzing the relative motion of the test particles. It is found that the interaction between the matter and vector field in the theory leads to two additional transverse polarization modes. By making use of the polarization content, the stress-energy pseudo-tensor is calculated by employing the perturbed equation method. Additionally, the relaxed field equation for the modified gravity in question is derived by using the Landau–Lifshitz formalism suitable to systems with non-negligible self-gravity.

中文翻译：

---

标量-张量-矢量重力理论中的引力波

在本文中，我们研究了标量-张量-矢量重力理论中的引力波特性。通过分析测试粒子的相对运动来研究重力波的极化。发现理论上物质与矢量场之间的相互作用导致了另外两个横向极化模式。通过利用极化含量，采用摄动方程法计算应力能伪张量。此外，通过使用适用于自重不可忽略的系统的Landau–Lifshitz形式主义，可以导出所讨论的重力的松弛场方程。