论文标题
黑洞晶格宇宙学模型的持久性
Persistence in black hole lattice cosmological models
论文作者
论文摘要
研究了在标量场主导的宇宙弹跳附近不断发展的黑洞多个网络的动力解决方案。特别是，我们考虑了超球体宇宙学中的黑洞晶格模型，当模型参数$κ> 1 $时，我们专注于八个定期间隔的黑洞的特殊情况。我们首先通过利用约束方程的扰动解决方案来得出瞬时静态模型的精确时间发展的解决方案，然后可以使用这些方程来开发Einstein场方程的精确4D动态解。我们使用几何图的概念，可以以曲率不变性为特征来确定黑洞地平线。我们为获得的确切动力学模型明确计算不变性。作为应用程序，我们讨论了黑洞是否可以在如此崩溃的宇宙中持续存在，然后随后弹跳到一个新的扩展阶段。我们发现有证据表明，在正在调查的物理模型中（尤其是$κ> 1 $），单个黑洞在反弹之前也没有合并，因此因此，黑洞确实可以通过反弹持续存在。
Dynamical solutions for an evolving multiple network of black holes near a cosmological bounce dominated by a scalar field are investigated. In particular, we consider the class of black hole lattice models in a hyperspherical cosmology, and we focus on the special case of eight regularly-spaced black holes with equal masses when the model parameter $κ> 1$. We first derive exact time evolving solutions of instantaneously-static models, by utilizing perturbative solutions of the constraint equations that can then be used to develop exact 4D dynamical solutions of the Einstein field equations. We use the notion of a geometric horizon, which can be characterized by curvature invariants, to determine the black hole horizon. We explicitly compute the invariants for the exact dynamical models obtained. As an application, we discuss whether black holes can persist in such a universe that collapses and then subsequently bounces into a new expansionary phase. We find evidence that in the physical models under investigation (and particularly for $κ> 1$) the individual black holes do not merge before nor at the bounce, so that consequently black holes can indeed persist through the bounce.
