标题： 中等膨胀和慢滚近似 显示英文标题

标题： Intermediate inflation and the slow-roll approximation

摘要： 结果显示，对于广义的势能 $V$，耦合到非线性标量场和其他物质的爱因斯坦方程的空间均匀解在晚期时间表现出加速膨胀。 这些势能严格为正，但在无穷远处趋于零。 它们对 $V'/V$ 和 $V''/V'$ 有一定的限制，这些限制与慢滚近似有关。 这些结果将正宇宙学常数时空的Wald定理推广到由属于一大类势能驱动的加速膨胀时空。 显示英文摘要

摘要： It is shown that spatially homogeneous solutions of the Einstein equations coupled to a nonlinear scalar field and other matter exhibit accelerated expansion at late times for a wide variety of potentials $V$. These potentials are strictly positive but tend to zero at infinity. They satisfy restrictions on $V'/V$ and $V''/V'$ related to the slow-roll approximation. These results generalize Wald's theorem for spacetimes with positive cosmological constant to those with accelerated expansion driven by potentials belonging to a large class.