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The Cosmological Singularity
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The Cosmological Singularity

The Cosmological Singularity

Vladimir belinski (author)|marc henneaux (author)

304 pages, parution le 30/10/2017

Résumé

Vladimir Belinski holds a permanent professor position at the International Center for Relativistic Astrophysics Network (ICRANet), Italy. He is noted for his role in several key developments in theoretical physics, including the Belinski-Khalatnikov-Lifshitz conjecture on the behavior of generic solutions of Einstein equations near a cosmological singularity, the Belinski-Zakharov transform, and the 'Inflationary Attractor'. He is co-author of the book Gravitational Solitons (Cambridge, 2001) and has received the Landau Prize of the Russian Academy of Sciences (1974) and Marcel Grossmann Award (2012).Preface; 1. Introduction and outline; Part I. BKL Analysis: 2. Basic structure of cosmological singularity; 3. Homogeneous cosmological models; 4. On the cosmological chaos; 5. On the Inuence of matter and spacetime dimension; Part II. Cosmological Billiards: 6. The billiard of four-dimensional vacuum gravity; 7. General Cosmological Billiards; 8. Hyperbolic Coxeter groups; Appendix A. Various technical derivations; Appendix B. Homogeneous spaces and Bianchi classification; Appendix C. Spinor field; Appendix D. Lorentzian Kac-Moody algebras; References; Index.Written for researchers focusing on general relativity, supergravity, and cosmology, this is a self-contained exposition of the structure of the cosmological singularity in generic solutions of the Einstein equations, and an up-to-date mathematical derivation of the theory underlying the Belinski-Khalatnikov-Lifshitz (BKL) conjecture on this field. Part I provides a comprehensive review of the theory underlying the BKL conjecture. The generic asymptotic behavior near the cosmological singularity of the gravitational field, and fields describing other kinds of matter, is explained in detail. Part II focuses on the billiard reformulation of the BKL behavior. Taking a general approach, this section does not assume any simplifying symmetry conditions and applies to theories involving a range of matter fields and space-time dimensions, including supergravities. Overall, this book will equip theoretical and mathematical physicists with the theoretical fundamentals of the Big Bang, Big Crunch, Black Hole singularities, the billiard description, and emergent mathematical structures.IllustrationsQB981Cosmology.1EnglandCambridgeVladimir Belinski, Marc Henneaux.Cambridge Monographs on Mathematical Physics

Caractéristiques techniques

  PAPIER
Éditeur(s) Cambridge University Press
Auteur(s) Vladimir belinski (author)|marc henneaux (author)
Parution 30/10/2017
Nb. de pages 304
Format 174 x 247
Poids 812g
EAN13 9781107047471

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