L. P. Hughston, K. P. Tod

An Introduction to General Relativity

• Broschiertes Buch

Produktbeschreibung

This long-awaited textbook offers a concise one-semester introduction to basic general relativity suitable for mathematics and physics undergraduates. Emphasis is placed on the student's development of both a solid physical grasp of the subject and a sophisticated calculational facility. The text is supplemented by numerous geometrical diagrams and by a large selection of challenging exercises and problems.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 192
• Erscheinungstermin: 19. Januar 1991
• Englisch
• Abmessung: 229mm x 152mm x 11mm
• Gewicht: 287g
• ISBN-13: 9780521339438
• ISBN-10: 052133943X
• Artikelnr.: 21829336

Inhaltsangabe

Preface
1. Introduction
2. Vectors and tensors in flat three-space
3. Aspects of special relativistic geometry
4. Tensor analysis on manifolds
5. Covariant differentiation
6. Properties of the Riemann tensor
7. Riemannian geometry
8. The Lie derivative
9. Geodesics
10. Geodesic deviation
11. Differential forms
12. The transition from Newtonian theory
13. Einstein's field equations
14. The slow motion approximation
15. The Schwarzschild solution
16. Gravitational red-shift and time dilation
17. The geodesic equation for the Schwarzschild solution
18. Classical tests
19. The extended Schwarzschild solution
20. Black holes and gravitational collapse
21. Interior solutions
22. The Kerr solution
23. Homogeneous and isotropic three-spaces
24. Cosmology: kinematics
25. Cosmology: dynamics
25. Anisotropic cosmologies
Index.