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INTRODUCTION TO GENERAL RELATIVITY

by John Dirk Walecka (College of William and Mary, USA)

Table of Contents (95k)
Preface (80k)
Chapter 1: Introduction (162k)

A working knowledge of Einstein’s theory of general relativity is an essential tool for every physicist today. This self-contained book is an introductory text on the subject aimed at first-year graduate students, or advanced undergraduates, in physics that assumes only a basic understanding of classical Lagrangian mechanics. The mechanics problem of a point mass constrained to move without friction on a two-dimensional surface of arbitrary shape serves as a paradigm for the development of the mathematics and physics of general relativity. After reviewing special relativity, the basic principles of general relativity are presented, and the most important applications are discussed. The final special topics section guides the reader through a few important areas of current research.

This book will allow the reader to approach the more advanced texts and monographs, as well as the continual influx of fascinating new experimental results, with a deeper understanding and sense of appreciation.


Contents:

  • Particle on a Two-Dimensional Surface
  • Curvilinear Coordinate Systems
  • Particle on a Two-Dimensional Surface — Revisited
  • Some Tensor Analysis
  • Special Relativity
  • General Relativity
  • Precession of Perihelion
  • Gravitational Redshift
  • Neutron Stars
  • Cosmology
  • Gravitational Radiation
  • Special Topics
  • Problems


Readership: Advanced undergraduate or graduate students and researchers in physics.


“This introduction to general relativity is written by a non-specialist, and so, the calculations are presented in great detail, which probably will help other non-specialists to understand the deduction better than from reading other textbooks.”

Zentralblatt MATH





“… the text is clearly presented … Walecka’s book presents much of what one would want as an introduction to general relativity.”

Australian Physics





“An intuitive approach, via an easy-to-visualize example, allows a pedagogical introduction of the main geometrical concepts and of the tools needed for the formulation of Einstein’s theory … a very useful ample selection of exercises which contribute to enriching the pedagogical value of this introductory text is also provided.”

Mathematical Reviews




356pp Pub. date: Apr 2007
ISBN 978-981-270-584-6
981-270-584-8
US$86 / £46
ISBN 978-981-270-585-3(pbk)
981-270-585-6(pbk)
US$55 / £29
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Updated on 17 November 2008