# A General Relativity Workbook

General relativity, which lies at the heart of contemporary physics, has recently become the focus of a number of lively theoretical, experimental, and computational research programs. As a result, undergraduates have become increasingly excited to learn about the subject.

### Summary

General relativity, which lies at the heart of contemporary physics, has recently become the focus of a number of lively theoretical, experimental, and computational research programs. As a result, undergraduates have become increasingly excited to learn about the subject.

A General Relativity Workbook is a textbook intended to support a one-semester upper division undergraduate course on general relativity. Through its unique workbook-based design, it enables students to develop a solid mastery of both the physics and the supporting tensor calculus by pushing (and guiding) them to work through the implications. Each chapter, which is designed to correspond to one class session, involves a short overview of the concepts without obscuring derivations or details, followed by a series of boxes that guide students through the process of working things out for themselves.

This active-learning approach enables students to develop a more secure mastery of the material than more traditional approaches. More than 350 homework problems support further learning. This book more strongly emphasizes the physics than many of its competitors, and while it provides students a full grounding in the supporting mathematics (unlike certain other competitors), it introduces the mathematics gradually and in a completely physical context.

### Table of Contents

1. Introduction

2. Review of Special Relativity

3. Four-Vectors

4. Index Notation

5. Arbitrary Coordinates

6. Tensor Equations

7. Maxwell’s Equations

8. Geodesics

9. The Schwarzschild Metric

10. Particle Orbits

11. Precession of the Perihelion

12. Photon Orbits

13. Deflection of Light

14. Event Horizon

15. Alternative Coordinates

16. Black Hole Thermodynamics

17. The Absolute Gradient

18. Geodesic Deviation

19. The Riemann Tensor

20. The Stress-Energy Tensor

21. The Einstein Equation

22. Interpreting the Equation

23. The Schwarzschild Solution

24. The Universe Observed

25. A Metric for the Cosmos

26. Evolution of the Universe

27. Cosmic Implications

28. The Early Universe

29. CMB Fluctuations and Inflation

30. Gauge Freedom

31. Detecting Gravitational Waves

32. Gravitational Wave Energy

33. Generating Gravitational Waves

34. Gravitational Wave Astronomy

35. Gravitomagnetism

36. The Kerr Metric

37. Particle Orbits in Kerr Spacetime

38. Ergoregion and Horizon

39. Negative-Energy Orbits

Index

Preface (PDF)

Complete Frontmatter with Detailed Contents (PDF)

Online Student Manual with Hints and Answers for Selected Problems (PDF)

Accompanying Author Website

Errata (PDF)

### Reviews

*“Anyone interested in learning about this fascinating theory will find A General Relativity Workbook to be captivating. The book’s lively style and novel design make it as easy as possible for students and nonexperts to grasp the physical concepts behind the theory…Furthermore, the book contains a wealth of useful exercises and homework problems, including ones about such exciting and modern topics as cosmic rays, gravitational lensing, inflation, and gravitational radiation from binary pulsars. I strongly recommend A General Relativity Workbook to instructors teaching general relativity and to their students.”*

-Physics Today (click here to read the complete review)

*“Moore’s workbook makes General Relativity accessible to undergraduates who have seen little or none of the underlying mathematical framework. This is achieved not by watering down the contents, but rather by systematically guiding readers to work everything out themselves until they own the concepts and the mathematical techniques.”*

-Sergio Picozzi, University of Maryland

*“With its clean organization, its direct and clear prose, and especially its pedagogically effective workbook format, Moore’s A General Relativity Workbook may quickly become the new standard for upper division undergraduate courses in General Relativity.”*

-John Mallinckrodt, Cal Poly Pomona

*“Not since Misner, Thorne & Wheeler has there been such a useful reference.”*

-Paul McKenna, Glasgow Caledonia University