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  Construction of oscillatory singularities

Rendall, A. D. (2014). Construction of oscillatory singularities. In A. García-Parrado (Ed.), Proceedings of the Spanish Relativity Meeting (ERES 2012) Progress in Mathematical Relativity, Gravitation and Cosmology, Springer Proceedings in Mathematics & Statistics 60 (pp. 95-105). Berlin Heidelberg: Springer.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-74CA-3 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-7BAD-A
Genre: Conference Paper

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1212.5418 (Preprint), 131KB
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 Creators:
Rendall, Alan D.1, Author              
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: One way to understand more about spacetime singularities is to construct solutions of the Einstein equations containing singularities with prescribed properties. The heuristic ideas of the BKL picture suggest that oscillatory singularities should be very common and give a detailed picture of how these could look. The more straightforward case of singularities without oscillations is reviewed and existing results on that subject are surveyed. Then recent theorems proving the existence of spatially homogeneous solutions with oscillatory singularities of a specific type are presented. The proofs of these involve applications of some ideas concerning heteroclinic chains and their stability. Some necessary background from the theory of dynamical systems is explained. Finally some directions in which this research might be generalized in the future are pointed out.

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 Dates: 2012-12-2120132014
 Publication Status: Published in print
 Pages: 12 pages
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1212.5418
URI: http://arxiv.org/abs/1212.5418
 Degree: -

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Title: Spanish Relativity Meeting (ERES 2012)
Place of Event: Guimarães, Portugal
Start-/End Date: 2012-09-03 - 2012-09-07

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Title: Proceedings of the Spanish Relativity Meeting (ERES 2012) Progress in Mathematical Relativity, Gravitation and Cosmology, Springer Proceedings in Mathematics & Statistics 60
Source Genre: Proceedings
 Creator(s):
García-Parrado, A., Editor
Affiliations:
-
Publ. Info: Berlin Heidelberg : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 95 - 105 Identifier: DOI: 10.1007/978-3-642-40157-2__7