The accelerated expansion of the Universe and the rotational dynamics of Galaxies have become part of the mysteries of the physical world and have had theorists working tirelessly in the past years. There is no consensus on what is causing these observable effects: whether it is the yet-to-be-discovered dark energy and dark matter or it is the breaking down of our currently accepted theory of gravity, general relativity, on larger scales. In this paper, we assume it is the latter and analyse R ⁿ -gravity—a type of modified theory of gravity—in the Bianchi type-V spacetime. Numerous accelerating solutions are found and their stability is analysed. There is one particular solution that was found to be stable for a wide range of values of n and it makes for a possible solution for the accelerated expansion anomaly.

宇宙的加速膨胀和星系的旋转动力学已经成为物理世界奥秘的一部分，并且在过去的几年里让理论家们不知疲倦地工作。对于造成这些可观察影响的原因尚无共识：究竟是尚未发现的暗能量和暗物质，还是我们目前公认的引力理论、广义相对论在更大尺度上的瓦解。在本文中，我们假设是后者，并在 Bianchi V 型时空分析R ⁿ -gravity——一种修正的引力理论。找到了许多加速解决方案并分析了它们的稳定性。有一个特定的解决方案被发现在很宽的n值范围内是稳定的 它为加速膨胀异常提供了可能的解决方案。