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Einstein's general theory of relativity : with modern applications in cosmology / Øyvind Grøn, Sigbjørn Hervik.

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Author/Creator:
Grøn, Øyvind.
Language:
English.
Publication date:
2007
Imprint:
New York : Springer, c2007.
Format:
  • Book
  • xx, 538 p. : ill. ; 25 cm.
Bibliography:
Includes bibliographical references (p. [519]-532) and index.
Contents:
  • 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.
  • (source: Nielsen Book Data)
Publisher's Summary:
The book introduces the general theory of relativity and includes applications to cosmology. The book contains a thorough introduction to tensor calculus and curved manifolds. After the necessary mathematical tools are introduced, we give a thorough presentation of the theory of relativity. Also, some advanced topics not previously covered by textbooks; e.g. 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 get an updated introduction to general relativity including the most recent developments in cosmology.
(source: Nielsen Book Data)
Contributor:
Hervik, Sigbjorn.
Subjects:
ISBN:
9780387691992
0387691995
9780387692005
0387692002

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