An Introduction to Gravity
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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An Introduction to Gravity
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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An Introduction to Gravity

An Introduction to Gravity

by Joel Franklin
An Introduction to Gravity

An Introduction to Gravity

by Joel Franklin

Overview

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.

Product Details

ISBN-13: 9781009389709
Publisher: Cambridge University Press
Publication date: 04/11/2024
Pages: 340
Product dimensions: 6.50(w) x 1.50(h) x 9.50(d)

About the Author

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.

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.
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