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Einstein's General Theory of Relativity, 2007 With Modern Applications in Cosmology

Langue : Anglais

Auteurs :

Couverture de l’ouvrage Einstein's General Theory of Relativity

This book introduces the general theory of relativity and includes applications to cosmology. The book provides a thorough introduction to tensor calculus and curved manifolds. After the necessary mathematical tools are introduced, the authors offer a thorough presentation of the theory of relativity. Also included are some advanced topics not previously covered by textbooks, including Kaluza-Klein theory, Israel's formalism and branes. Anisotropic cosmological models are also included. The book contains a large number of new exercises and examples, each with separate headings. The reader will benefit from an updated introduction to general relativity including the most recent developments in cosmology.

I. Introduction: Newtonian Physics and Special Relativity- 1. Relativity Principals and Gravitation 2. The Special Theory of Relativity II. The Mathematics of the General Theory of Relativity- 3. Vectors, Tensors, and Forms 4. Basis Vector Fields and Metric Tensor 5. Non-inertial Reference Frames 6. Differentiation, Connections and Integration 7. Curvature II. Einstein's Field Equations- 8. Einstein's Field Equations 9. The Linear Field Approximation 10. The Schwarzschild Solution and Black Holes IV. Cosmology- 11. Homogeneous and Isotropic Universe Models 12. Universe Models with Vacuum Energy 13. An Anisotropic Universe V. Advanced Topics- 14. Covariant decomposition, Singularities, and Canonical Cosmology 15. Homogeneous Spaces 16. Israel's Formalism: The metric junction method 17. Brane-worlds 18. Kaluza-Klein Theory VI. Appendices- A. Constrants of Nature B. Penrose diagrams C. Anti-de Sitter spacetime D. Suggested further reading
Both authors are researchers in general relativity with particular emphasis on cosmology.  They have earned the following honors:  Illustrert Vitenskaps research prize (1988), The King's Gold Medal (1990), 2nd prize, Smith-Knight Rayleight-Knight prizes, Cambridge University (2003), and Research Prize of Oslo College of Engineering (2004).

The book has over 200 pages with modern applications of the theory mostly in cosmology

Several of these topics have been developed recently and are not present in other textbooks

Standard model of cosmology discussed in detail as well as alternatives to the standard FRW cosmology

Modern powerful techniques and tools some of which are indespensible for the modern researcher discussed

Techniques then used on some alternative theories of gravity i.e. brane-worlds and other higher- dimensional theories

Includes supplementary material: sn.pub/extras

Date de parution :

Ouvrage de 538 p.

15.5x23.5 cm

Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).

Prix indicatif 84,39 €

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Date de parution :

Ouvrage de 538 p.

15.5x23.5 cm

Sous réserve de disponibilité chez l'éditeur.

126,59 €

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