论文标题
一般相对论II中的过滤扩展
Filtered expansions in general relativity II
论文作者
论文摘要
这是我们在真空爱因斯坦方程的外部参数中构建正式的功率序列解决方案中的第二篇论文中的第二篇,为Belinskii-Khalatnikov-Lifshitz(BKL)提出了一条反弹,以实现空间上不良空间的提议。在这里,我们表明,空间均匀元件的空间不均匀扰动没有扰动。用于过滤的复合物的光谱序列以及基于量规固定的同源收缩来做到这一点。
This is the second of two papers in which we construct formal power series solutions in external parameters to the vacuum Einstein equations, implementing one bounce for the Belinskii-Khalatnikov-Lifshitz (BKL) proposal for spatially inhomogeneous spacetimes. Here we show that spatially inhomogeneous perturbations of spatially homogeneous elements are unobstructed. A spectral sequence for a filtered complex, and a homological contraction based on gauge-fixing, are used to do this.