论文标题

从不均匀的初始条件开始以动量开始通货膨胀

Starting inflation from inhomogeneous initial conditions with momentum

论文作者

Corman, Maxence, East, William E.

论文摘要

我们研究了使用数值相对论模拟的非常不均匀的初始条件,宇宙通货膨胀可能引起的情况。先前的研究未考虑由于解决爱因斯坦约束方程的技术挑战而引起的非零动量密度的病例。在这里,我们解决这些问题,引入并比较几种不同的方法,用于构建宇宙学初始条件与不均匀的标量场和时间衍生曲线。在单场和两场通货膨胀模型中,我们以较大的不均匀性进化了这种初始条件。我们研究了初始梯度和动能比通货膨胀能量表大得多的情况,而黑洞可以形成,以及初始标量势能是可比的情况,就像在几乎普兰克密度下发生通货膨胀的情况一样,发现大型膨胀通常是强大的。我们考虑了初始条件的例子,在这种情况下,较大的标量场速度对非通货膨胀值将阻止在同质的情况下发生通货膨胀,发现在标量场中添加大梯度实际上可以稀释这种效应,并且增加了扩张和不变的恢复力,导致通货膨胀。

We investigate the circumstances under which cosmic inflation can arise from very inhomogeneous initial conditions using numerical relativity simulations. Previous studies have not considered cases with non-zero momentum density due to technical challenges with solving the coupled Einstein constraint equations. Here we address these, introducing and comparing several different ways of constructing cosmological initial conditions with inhomogeneous scalar field and time derivative profiles. We evolve such initial conditions with large inhomogeneities in both single- and two-field inflationary models. We study cases where the initial gradient and kinetic energy are much larger than the inflationary energy scale, and black holes can form, as well as cases where the initial scalar potential energy is comparable, as in scenarios where inflation occurs at nearly Planckian densities, finding large-field inflation to be generally robust. We consider examples of initial conditions where a large scalar field velocity towards non-inflationary values would prevent inflation from occurring in the homogeneous case, finding that the addition of large gradients in the scalar field can actually dilute this effect, with the increased expansion and non-vanishing restoring force leading to inflation.

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