Why can't you take Newtonian gravity, add special relativity, and build a relativistic theory of gravity that matches the predictions of our accepted theory, Einstein's general relativity? Ideal for a one-semester course at junior/senior level, this student-friendly text builds on familiar physics to illuminate the structure of general relativity.
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.
Papildus informācija
This student-friendly text builds on familiar physics to illuminate the structure of general relativity for a junior/senior level course.
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.
Joel Franklin is a professor in the Physics Department of Reed College, Oregon. His research focuses on mathematical and computational methods with applications to classical mechanics, quantum mechanics, electrodynamics, general relativity and its modifications. He is also the author of textbooks on Advanced Mechanics and General Relativity, Computational Methods for Physics, Classical Field Theory, and Mathematical Methods for Oscillations and Waves, all published by Cambridge University Press.
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