论文标题
以太 - quasi-dilaton巨大重力
Aether-quasi-dilaton massive gravity
论文作者
论文摘要
尽管准二龙大量重力是一种明确定义的引力理论，但它表现出不稳定性和严重的耦合问题。在这项工作中，我们通过包含以太字段来构建理论的扩展。着眼于平坦的Friedmann-Lemaitre-Robertson-Walker几何形状，我们在背景级别显示了精确的，自动加速的溶液的存在，其特征是引起了吸引人的质量。此外，我们进行了详细的扰动分析，分别研究张量，矢量和标量扰动，提取引力波的分散关系，并确定向量和标量扇区的稳定性条件。如我们所示，参数空间中总有一些区域，其中所获得的解决方案没有幽灵不稳定性以及强大的耦合问题。因此，尽管以太场在背景自我加速解决方案中没有重要作用，但它确实在缓解与扰动相关的问题的问题中确实起着至关重要的作用。
Although quasi-dilaton massive gravity is a well-defined gravitational theory, it exhibits instabilities and suffers from the strong coupling problem. In this work we construct an extension of the theory, through the inclusion of the aether field. Focusing on flat Friedmann-Lemaitre-Robertson-Walker geometry, we show the existence of exact, self-accelerating solutions at the background level, characterized by an effective cosmological constant arising from the graviton mass. Additionally, we perform a detailed perturbation analysis, investigating separately the tensor, vector, and scalar perturbations, extracting the dispersion relation of gravitational waves, and determining the stability conditions for vector and scalar sectors. As we show, there are always regions in the parameter space in which the obtained solutions are free from ghost instabilities, as well as from the strong coupling problem. Hence, although the aether field does not play an important role in the background self-accelerating solutions, it does play a crucial role in the alleviation of the perturbation-related problems of the simple quasi-dilaton massive gravity.
