The nature of cosmological singularities in isotropic universes and braneworlds
arXiv:0806.0312
Abstract
We explore the character of finite-time singularities that are possible to arise in FRW universes and in specific braneworld configurations. For FRW universes, we derive a first classification of singularities that is based on the behaviour of the Hubble rate. We further extend and complete this classification with the use of the Bel-Robinson energy. The braneworld models that we study consist of a three-brane embedded in a five-dimensional bulk space that is inhabited by a scalar field or a perfect fluid. Our analysis that is performed with the method of asymptotic splittings shows that these braneworlds can exhibit three main types of singularities that arise within finite distance from the brane.
156 pages, PhD Thesis
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