论文标题
霍华瓦 - 利法兹宇宙学中的分叉和混乱
Bifurcations and Chaos in Hořava-Lifshitz Cosmology
论文作者
论文摘要
一般相对论中通用间距奇异性的性质与第一原理有关，尤其是洛伦兹因果关系结构，规模不变性和一般协方差。为了对这些原理如何影响通用的空间奇异性有了新的看法，我们考虑了Ho树lifshitz Gravity的空间均匀的Bianchi型VIII和IX真空模型的最初奇异性，在这些奇缘性型中，相关性的第一原理被Lifshitz Type的Anisotropic尺度替换。在这类模型中，一般相对性被证明是混乱变为通用的分叉。为了描述ho红利夫希茨宇宙学中通用奇异性的混乱特征，我们在cantor集和迭代功能系统中引入了符号动力学。
The nature of generic spacelike singularities in general relativity is connected with first principles, notably Lorentzian causal structure, scale invariance and general covariance. To bring a new perspective on how these principles affect generic spacelike singularities, we consider the initial singularity in spatially homogeneous Bianchi type VIII and IX vacuum models in Hořava-Lifshitz gravity, where relativistic first principles are replaced with anisotropic scalings of Lifshitz type. Within this class of models, General Relativity is shown to be a bifurcation where chaos becomes generic. To describe the chaotic features of generic singularities in Hořava-Lifshitz cosmology, we introduce symbolic dynamics within Cantor sets and iterated function systems.
