动力学耦合标量场控制的收缩时空中的动力学吸引子
Dynamical attractors in contracting spacetimes dominated by kinetically coupled scalar fields
摘要：
我们提出了非微扰的数值相对论模拟缓慢收缩时空中的标量场驱动缓慢收缩耦合到第二个标量场通过指数非线性西格玛模型型动力学相互作用。这些模型很重要，因为它们可以产生一个几乎尺度不变的超哈勃密度波动光谱，与宇宙微波背景观测完全一致。我们表明，非线性演化迅速接近均匀的，各向同性的和平坦的Friedmann-Robertson-Walker（FRW）的几何形状为广泛的非均匀和各向异性的初始条件。最终，我们发现，动力学耦合导致演化偏离平坦的FRW并转向一个新的类似卡斯纳的稳定点，但一般来说，这发生在太长而与观测相关的时间尺度上。
英文摘要：
We present non-perturbative numerical relativity simulations of slowly contracting spacetimes in which the scalar field driving slow contraction is coupled to a second scalar field through an exponential non-linear sigma model-type kinetic interaction. These models are important because they can generate a nearly scale-invariant spectrum of super-Hubble density fluctuations fully consistent with cosmic microwave background observations. We show that the non-linear evolution rapidly approaches a homogeneous, isotropic and flat Friedmann- Robertson-Walker (FRW) geometry for a wide range of inhomogeneous and anisotropic initial conditions. Ultimately, we find, the kinetic coupling causes the evolution to deflect away from flat FRW and towards a novel Kasner-like stationary point, but in general this occurs on time scales that are too long to be observationally relevant.
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