Cosmological dynamical systems - INSPIRE

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Cosmological dynamical systems

2012

321 pages

ISBN:

9783847302339

Published: 2012 by LAP Lambert Academic Publishing

e-Print:

1412.5701 [gr-qc]

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Abstract: (arXiv)

In this book are studied, from the perspective of the dynamical systems, several Universe models. In chapter 1 we give a bird's eye view on cosmology and cosmological problems. Chapter 2 is devoted to a brief review on some results and useful tools from the qualitative theory of dynamical systems. They provide the theoretical basis for the qualitative study of concrete cosmological models. Chapters 1 and 2 are a review of well-known results. Chapters 3, 4, 5 and 6 are devoted to our main results. In these chapters are extended and settled in a substantially different, more strict mathematical language, several results obtained by one of us in arXiv:0812.1013 [gr-qc]; arXiv:1009.0689 [gr-qc]; arXiv:0904.1577[gr-qc]; and arXiv:0909.3571 [hep-th]. In chapter 6, we provide a different approach to the subject discussed in astro-ph/0503478. Additionally, we perform a Poincar\'e compactification process allowing to construct a global phase space containing all the cosmological information in both finite and infinite regions for all the models.

Note:

321 pages, 41 figures. Draft of our book Cosmological Dynamical Systems: And their Applications, LAP LAMBERT Academic Publishing. 416 pp. ISBN:978-3-8473-0233-9. https://www.lap-publishing.com/catalog/details/store/gb/book/978-3-8473-0233-9/cosmological-dynamical-systems. arXiv admin note: text overlap with arXiv:astro-ph/0401547, arXiv:1101.0300, arXiv:hep-ph/0604152, arXiv:0911.1435, arXiv:1004.2474, arXiv:gr-qc/9910074, arXiv:gr-qc/9908067, arXiv:1001.1251, arXiv:1003.5637, arXiv:0707.2089 by other authors

References(512)

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