Joel Franklin (Reed College

Introduction to Gravity (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 11. April 2024
• ISBN-13: 9781009389730
• Artikelnr.: 70911837

Autorenporträt

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.

Inhaltsangabe

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.