From the field equations corresponding to a four-dimensional brane embedded in the five-dimensional spacetime of the Einstein–Chern–Simons theory for gravity, we find cosmological solutions that describe an accelerated expansion for a flat universe. Apart from a quintessence-type evolution scheme, we obtain a transient phantom evolution, which is not ruled out by the current observational data. Additionally, a bouncing solution is shown. The introduction of a kinetic term in the action shows a de Sitter behavior although the energy density is not constant. A quintessence behavior is also found. We conjecture on a possible geometric origin of dark energy coming from this action.

从对应于爱因斯坦–钱恩–西蒙斯引力理论的五维时空中嵌入的四维骨架的场方程，我们发现了描述扁平宇宙加速膨胀的宇宙学解。除了典型型演化方案外，我们还获得了暂时的幻像演化，目前的观测数据并未排除这一现象。此外，显示了一个反弹解决方案。尽管能量密度不是恒定的，但在动作中引入动力学项会显示de Sitter行为。还发现了典型行为。我们猜想这种行动可能会产生暗能量的几何起源。