An Introduction to Gravity
Publisher: Cambridge University Press
Date of Publication: 11 April 2024
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Short description:
This student-friendly text builds on familiar physics to illuminate the structure of general relativity for a junior/senior level course.
Long description:
Einstein's theory of gravity can be difficult to introduce at the undergraduate level, or for self-study. One way to ease its introduction is to construct intermediate theories between the previous successful theory of gravity, Newton's, and our modern theory, Einstein's general relativity. This textbook bridges the gap by merging Newtonian gravity and special relativity (by analogy with electricity and magnetism), a process that both builds intuition about general relativity, and indicates why it has the form that it does. This approach is used to motivate the structure of the full theory, as a nonlinear field equation governing a second rank tensor with geometric interpretation, and to understand its predictions by comparing it with the, often qualitatively correct, predictions of intermediate theories between Newton's and Einstein's. Suitable for a one-semester course at junior or senior level, this student-friendly approach builds on familiar undergraduate physics to illuminate the structure of general relativity.
Table of Contents:
Preface; 1. Newtonian gravity; 2. Transformation and tensors; 3. The Riemann tensor and Einstein's equation; 4. Vacuum solutions and geodesics; 5. Gravitational waves and radiation; 6. Gravitational sources; 7. Field theories and gravity; Appendix A. Lorentz transformations and special relativity; Appendix B. Runge-Kutta methods; Appendix C. Curvature in D = 1, 2; References; Index.
