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100 years of mathematical cosmology: Models, theories, and problems, Part A
An elementary survey of mathematical cosmology is presented. We cover certain key ideas and developments in a qualitative way, from the time of the Einstein static universe in 1917 until today. We divide our presentation into four main periods, the first one containing important cosmologies discover...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
The Royal Society
2022
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8919128/ https://www.ncbi.nlm.nih.gov/pubmed/35282684 http://dx.doi.org/10.1098/rsta.2021.0191 |
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author | Cotsakis, Spiros Yefremov, A. P. |
author_facet | Cotsakis, Spiros Yefremov, A. P. |
author_sort | Cotsakis, Spiros |
collection | PubMed |
description | An elementary survey of mathematical cosmology is presented. We cover certain key ideas and developments in a qualitative way, from the time of the Einstein static universe in 1917 until today. We divide our presentation into four main periods, the first one containing important cosmologies discovered until 1960. The second period (1960–80) contains discussions of geometric extensions of the standard cosmology, singularities, chaotic behaviour and the initial input of particle physics ideas into cosmology. Our survey for the third period (1980–2000) continues with brief descriptions of the main ideas of inflation, the multiverse, quantum, Kaluza-Klein and string cosmologies, wormholes and baby universes, cosmological stability and modified gravity. The last period that ends today includes various more advanced topics such as M-theoretic cosmology, braneworlds, the landscape, topological issues, the measure problem, genericity, dynamical singularities and dark energy. We emphasize certain threads that run throughout the whole period of development of theoretical cosmology and underline their importance in the overall structure of the field. This is Part A of our survey covering the first two periods of development of the subject. The second part will include the third and fourth periods. We end this outline with an inclusion of the abstracts of all papers contributed to the Philosophical Transactions of the Royal Society A theme issue, ‘The Future of Mathematical Cosmology’. This article is part of the theme issue ‘The future of mathematical cosmology, Volume 1’. |
format | Online Article Text |
id | pubmed-8919128 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | The Royal Society |
record_format | MEDLINE/PubMed |
spelling | pubmed-89191282022-03-22 100 years of mathematical cosmology: Models, theories, and problems, Part A Cotsakis, Spiros Yefremov, A. P. Philos Trans A Math Phys Eng Sci Introduction An elementary survey of mathematical cosmology is presented. We cover certain key ideas and developments in a qualitative way, from the time of the Einstein static universe in 1917 until today. We divide our presentation into four main periods, the first one containing important cosmologies discovered until 1960. The second period (1960–80) contains discussions of geometric extensions of the standard cosmology, singularities, chaotic behaviour and the initial input of particle physics ideas into cosmology. Our survey for the third period (1980–2000) continues with brief descriptions of the main ideas of inflation, the multiverse, quantum, Kaluza-Klein and string cosmologies, wormholes and baby universes, cosmological stability and modified gravity. The last period that ends today includes various more advanced topics such as M-theoretic cosmology, braneworlds, the landscape, topological issues, the measure problem, genericity, dynamical singularities and dark energy. We emphasize certain threads that run throughout the whole period of development of theoretical cosmology and underline their importance in the overall structure of the field. This is Part A of our survey covering the first two periods of development of the subject. The second part will include the third and fourth periods. We end this outline with an inclusion of the abstracts of all papers contributed to the Philosophical Transactions of the Royal Society A theme issue, ‘The Future of Mathematical Cosmology’. This article is part of the theme issue ‘The future of mathematical cosmology, Volume 1’. The Royal Society 2022-05-02 2022-03-14 /pmc/articles/PMC8919128/ /pubmed/35282684 http://dx.doi.org/10.1098/rsta.2021.0191 Text en © 2022 The Authors. https://creativecommons.org/licenses/by/4.0/Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, provided the original author and source are credited. |
spellingShingle | Introduction Cotsakis, Spiros Yefremov, A. P. 100 years of mathematical cosmology: Models, theories, and problems, Part A |
title | 100 years of mathematical cosmology: Models, theories, and problems, Part A |
title_full | 100 years of mathematical cosmology: Models, theories, and problems, Part A |
title_fullStr | 100 years of mathematical cosmology: Models, theories, and problems, Part A |
title_full_unstemmed | 100 years of mathematical cosmology: Models, theories, and problems, Part A |
title_short | 100 years of mathematical cosmology: Models, theories, and problems, Part A |
title_sort | 100 years of mathematical cosmology: models, theories, and problems, part a |
topic | Introduction |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8919128/ https://www.ncbi.nlm.nih.gov/pubmed/35282684 http://dx.doi.org/10.1098/rsta.2021.0191 |
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