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Defects in Four-Dimensional Continua: A Paradigm for the Expansion of the Universe?

2008/08/24 by Angelo Tartaglia, A. Tartaglia, Tartaglia, A.
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #Gamma-ray bursts and supernovae #General Relativity and Quantum Cosmology (gr-qc) #Pulsars and Gravitational Waves Research #gr-qc

paper · pdf · doi:10.48550/arxiv.0808.3216

17 pages, 4 figures. Prepared for the Proceedings of Geometry, Integrability and Quantization X, held in Varna, 6-10 June 2008. Will be published by the Journal of Geometry and Symmetry in Physics. Fixed a LATEX problem with figures

arxiv created 2008/08/24 · openalex publication_date 2008/08/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The presence of defects in material continua is known to produce internal permanent strained states. Extending the theory of defects to four dimensions and allowing for the appropriate signature, it is possible to apply these concepts to space-time. In this case a defect would induce a non-trivial metric tensor, which can be interpreted as a gravitational field. The image of a defect in space-time can be applied to the description of the Big Bang. A review of the four-dimensional generalisation of defects and an application to the expansion of the universe will be presented.

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