Einstein's general theory of relativity : with modern applications in cosmology
 Author/Creator
 Grøn, Øyvind.
 Language
 English.
 Imprint
 New York : Springer, c2007.
 Physical description
 xx, 538 p. : ill. ; 25 cm.
Access
Available online
 www.springerlink.com SpringerLink
 www.myilibrary.com MyiLibrary
 site.ebrary.com ebrary

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QC173.55 .G766 2007

Available
QC173.55 .G766 2007
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Contributors
 Contributor
 Hervik, Sigbjorn.
Contents/Summary
 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. Noninertial 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. Braneworlds 18. KaluzaKlein Theory VI. Appendices A. Constrants of Nature B. Penrose diagrams C. Antide 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. KaluzaKlein 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)
Subjects
Bibliographic information
 Publication date
 2007
 Responsibility
 Øyvind Grøn, Sigbjørn Hervik.
 ISBN
 9780387691992
 0387691995
 9780387692005
 0387692002