Advanced Mechanics and General Relativity

by Joel Franklin

Overview

Aimed at advanced undergraduates with background knowledge of classical mechanics and electricity and magnetism, this textbook presents both the particle dynamics relevant to general relativity, and the field dynamics necessary to understand the theory. Focusing on action extremization, the book develops the structure and predictions of general relativity by analogy with familiar physical systems. Topics ranging from classical field theory to minimal surfaces and relativistic strings are covered in a homogeneous manner. Nearly 150 exercises and numerous examples throughout the textbook enable students to test their understanding of the material covered. A tensor manipulation package to help students overcome the computational challenge associated with general relativity is available on a site hosted by the author. A link to this and to a solutions manual can be found at www.cambridge.org/9780521762458.

Product Details

ISBN-13:	9780521762458
Publisher:	Cambridge University Press
Publication date:	07/08/2010
Edition description:	New Edition
Pages:	384
Product dimensions:	7.00(w) x 9.80(h) x 0.90(d)

About the Author

Joel Franklin is an Assistant Professor in the Physics department of Reed College. His work spans a variety of fields, including stochastic Hamiltonian systems (both numerical and mathematical), theoretical extensions of general relativity, and their observational implications.

Table of Contents

1. Newtonian gravity; 2. Relativistic mechanics; 3. Tensors; 4. Curved space; 5. Scalar field theory; 6. Tensor field theory; 7. Schwarzschild space-time; 8. Gravitational radiation; 9. Additional topics; References; Index.

Editorial Reviews

"Franklin’s book is an excellent addition to the literature, and its readability and explicitness will be appreciated by the target audience. Should I be teaching an introductory undergraduate class in general relativity in the near future, I would seriously consider this book for the main class text."
Jorma Louko, Classical and Quantum Gravity

"The book is beautifully illustrated. Important equations are framed so that they can be easily found. The text is both informal and precise, and the mathematics is very explicit and hence easy to follow. Together with the approach of introducing geometric concepts early (in Newtonian mechanics) and not only when they cannot be avoided anymore (in general relativity), the didactic approach of this book can be considered a full success and will be very helpful for every student with an interest in learning general relativity."
Thomas Peters, Contemporary Physics

From the Publisher