Global Spacetime Structure of Compactified Inflationary Universe
arXiv:1901.03347 · doi:10.1088/1361-6382/ab38ed
Abstract
We investigate the global spacetime structure of torus de Sitter universe, which is exact de Sitter space with torus identification based on the flat chart. We show that past incomplete null geodesics in torus de Sitter universe are locally extendible. Then we give an extension of torus de Sitter universe so that at least one of the past incomplete null geodesics in the original spacetime becomes complete. However we find that extended torus de Sitter universe has two ill behaviors. The first one is a closed causal curve. The second one is so called quasi regular singularity, which means that there is no global, consistent extension of spacetime where all curves become complete, nevertheless each curve is locally extensible.
arXiv comment7 pages, 5 figures
References in corpus (13)
- The dS/CFT Correspondence
- Inflationary spacetimes are not past-complete
- Creation of a Compact Topologically Nontrivial Inflationary Universe
- Planck 2015 results. XVIII. Background geometry & topology
- A de Sitter Farey Tail
- Quantum Cosmology and Open Universes
- Maximal extensions and singularities in inflationary spacetimes
- Holography on Non-Orientable Surfaces
- Topology and singularities in cosmological spacetimes obeying the null energy condition
- Causal structures in cosmology
- Standard model with compactified spatial dimensions
- Compact hyperbolic universe and singularities
- Particle creation in a toroidal universe
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- String Excitation by Initial Singularity of Inflation