An Introduction to General Relativity
An Introduction to General Relativity
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$69.99
USDThis 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.
Reviews & endorsements
"...the authors guide the novice along a careful, well-planned route that provides a pleasing balance between the demands of the mathematics and those of the physics." Mathematical Reviews
"...very readable...more emphasis is placed on an intuitive grasp of the subject and a calculational facility than on a rigorous mathematical exposition." Quarterly of Applied MAthematics, Brown University
Product details
January 1991Paperback
9780521339438
192 pages
230 × 153 × 14 mm
0.29kg
32 b/w illus.
Available
Table of Contents
- 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.
