Relativity : an introduction to special and general relativity

著者

• Stephani, Hans

書誌事項

Relativity : an introduction to special and general relativity

Hans Stephani

Cambridge University Press, 2004

3rd ed

• : hbk
• : pbk

タイトル別名

Allgemeine Relativitätstheorie

General relativity

注記

"Originally published in German as Allgemeine Relativitätstheorie by VEB Deutscher Verlag der Wissenschaften, Berlin, G.D.R. Copyright VEB Deutscher Verlag der Wissenschaften, first German edition 1977. Second German edition 1980. Third German edition 1989"--T.p. verso

"First published in English as General relativity by Cambridge University Press 1982. Second English edition 1990. Third English edition 2004"--T.p. verso

Transferred to digital printing 2007

Size of pbk., digital printing 2007, ISBN:9780521010696: 23 cm

Includes bibliographical references (p. 388-391) and index

HTTP:URL=http://www.loc.gov/catdir/description/cam032/2003053217.html Information=Publisher description

HTTP:URL=http://www.loc.gov/catdir/toc/cam032/2003053217.html Information=Table of contents

内容説明・目次

内容説明

Thoroughly revised and updated, this textbook provides a pedagogical introduction to relativity. It is self-contained, but the reader is expected to have a basic knowledge of theoretical mechanics and electrodynamics. It covers the most important features of both special and general relativity, as well as touching on more difficult topics, such as the field of charged pole-dipole particles, the Petrov classification, groups of motions, gravitational lenses, exact solutions and the structure of infinity. The necessary mathematical tools (tensor calculus, Riemannian geometry) are provided, most of the derivations are given in full, and exercises are included where appropriate. Written as a textbook for undergraduate and introductory graduate courses, it will also be of use to researchers working in the field. The bibliography gives the original papers and directs the reader to useful monographs and review papers.

目次

• Preface
• Notation
• Part I. Special Relativity: 1. Introduction: inertial systems and Galilei invariance of classical mechanics
• 2. Light propagation in moving coordinate systems and Lorentz transformations
• 3. Our world as a Minkowski space
• 4. Mechanics of special relativity
• 5. Optics of plane waves
• 6. Four-dimensional vectors and tensors
• 7. Electrodynamics in vacuo
• 8. Transformation properties of electromagnetic fields: examples
• 9. Null vectors and the algebraic properties of electromagnetic field tensors
• 10. Charged point particles and their field
• 11. Pole-dipole particles and their field
• 12. Electrodynamics in media
• 13. Perfect fluids and other physical theories
• Part II. Riemannian Geometry: 14. Introduction: the force-free motion of particles in Newtonian mechanics
• 15. Why Riemannian geometry?
• 16. Riemannian space
• 17. Tensor algebra
• 18. The covariant derivative and parallel transport
• 19. The curvature tensor
• 20. Differential operators, integrals and integral laws
• 21. Fundamental laws of physics in Riemannian spaces
• Part III. Foundations of Einstein's Theory of Gravitation: 22. The fundamental equations of Einstein's theory of gravitation
• 23. The Schwarzschild solution
• 24. Experiments to verify the Schwarzschild metric
• 25. Gravitational lenses
• 26. The interior Schwarzschild solution
• Part IV. Linearized Theory of Gravitation, Far Fields and Gravitational Waves: 27. The linearized Einstein theory of gravity
• 28. Far fields due to arbitrary matter distributions and balance equations for momentum and angular momentum
• 29. Gravitational waves
• 30. The Cauchy problem for the Einstein field equations
• Part V. Invariant Characterization of Exact Solutions: 31. Preferred vector fields and their properties
• 32. The Petrov classification
• 33. Killing vectors and groups of motion
• 34. A survey of some selected classes of exact solutions
• Part VI. Gravitational Collapse and Black Holes: 35. The Schwarzschild singularity
• 36. Gravitational collapse - the possible life history of a spherically symmetric star
• 37. Rotating black holes
• 38. Black holes are not black - relativity theory and quantum theory
• 39. The conformal structure of infinity
• Part VII. Cosmology: 40. Robertson-Walker metrics and their properties
• 41. The dynamics of Robertson-Walker metrics and the Friedmann universes
• 42. Our Universe as a Friedmann model
• 43. General cosmological models
• Bibliography
• Index.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA67610726
• ISBN:
  • 0521811856
  • 9780521010696
• LCCN: 2003053217
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 原本言語コード: ger
• 出版地: Cambridge ; New York
• ページ数/冊数: xx, 396 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QC17
  • DC21 : 530.11
• 件名:
  • LCSH : Gravitational fields
  • LCSH : General relativity (Physics)