Einstein's General Theory of Relativity
With Modern Applications in Cosmology
(Sprache: Englisch)
This book introduces the general theory of relativity, includes applications to cosmology, and provides a thorough introduction to tensor calculus and curved manifolds. Also included are some advanced topics not previously covered by textbooks, including...
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Produktinformationen zu „Einstein's General Theory of Relativity “
This book introduces the general theory of relativity, includes applications to cosmology, and provides a thorough introduction to tensor calculus and curved manifolds. Also included are some advanced topics not previously covered by textbooks, including Kaluza-Klein theory, Israel's formalism and branes.
Klappentext zu „Einstein's General Theory of Relativity “
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.
Inhaltsverzeichnis zu „Einstein's General Theory of Relativity “
- Newtonian Physics and Special Relativity- Relativity Principals and Gravitation
- The Special Theory of Relativity
- The Mathematics of the General Theory of Relativity
- Vectors, Tensors, and Forms
- Basis Vector Fields and Metric Tensor
- Non-inertial Reference Frames
- Differentiation, Connections and Integration
- Curvature
- Einstein's Field Equations
- Einstein's Field Equations
- The Linear Field Approximation
- The Schwarzschild Solution and Black Holes
- Cosmology
- Homogeneous and Isotropic Universe Models
- Universe Models with Vacuum Energy
- An Anisotropic Universe
- Advanced Topics
- Covariant decomposition, Singularities, and Canonical Cosmology
- Homogeneous Spaces
- Israel's Formalism: The metric junction method
- Brane-worlds
- Kaluza-Klein Theory
- Appendices
- Constrants of Nature
- Penrose diagrams
- Anti-de Sitter spacetime
- Suggested further reading.
Autoren-Porträt von Øyvind Grøn, Sigbjorn Hervik
Both authors are researchers in general relativity with particular emphasis on cosmology. They have earned the following honors: Illustrert Vitenskaps research prize (1988), The Kingäs Gold Medal (1990), 2nd prize, Smith-Knight Rayleight-Knight prizes, Cambridge University (2003), and Research Prize of Oslo College of Engineering (2004).
Bibliographische Angaben
- Autoren: Øyvind Grøn , Sigbjorn Hervik
- 2007, XX, 538 Seiten, Maße: 16,4 x 24,4 cm, Gebunden, Englisch
- Verlag: Springer, Berlin
- ISBN-10: 0387691995
- ISBN-13: 9780387691992
- Erscheinungsdatum: 04.05.2007
Sprache:
Englisch
Rezension zu „Einstein's General Theory of Relativity “
From the reviews:
Pressezitat
From the reviews: "A sophisticated treatment of general relativity with a considerable number of applications to cosmology. ... The book may be read in several different ways, depending on the interests of readers. A rich source of material; college libraries should have it on their shelves. Summing Up: Highly recommended. Upper-division undergraduates through professionals." (K. L. Schick, CHOICE, Vol. v4 (3), November, 2007)
"This book is a carefully prepared overview about all essential aspects of relativity. Its 5 parts give the standard way to present the material ... . Differently from other textbooks, the present authors emphasize much more concrete problems and examples ... . The book contains a very large number of formulas, partially due to the fact, that many statements are given both in the old index-notation as well as in the modern index-free notation; I think this is helpful for the readers." (Hans-Jürgen Schmidt, Zentralblatt MATH, Vol. 1126 (3), 2008)
"Even if you already have a sizable collection of books on general relativity, or if you are looking for a good modern book to teach a course from, the text by Grøn and Hervik is ... a valuable addition to your collection." (David H. Delphenich, Mathematical Reviews, Issue 2008 i)
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