Gravity

An Introduction to Einstein's
General Relativity

James B. Hartle

Web Supplements

Web Supplements are extensions of the exposition in various chapters in the text. They typically are concerned with technical developments or with ideas which are conceptually simple but require lengthy derivations whose inclusion in the text would have been a significant interruption in its flow. For instance, on p. 174 the text mentions that a general formula for the Christoffel symbols in terms of the metric (8.19) can be derived by working out Lagrange's equations for the Lagrangian (8.10) that summarizes the idea that a geodesic is a curve of extremal proper time. The first Web Supplement gives this derivation.

- Chapter 8: Derivation of the General Geodesic Equation.
- Chapter 14: Construction of a Freely Falling Frame.
- Chapter 18: Derivation of the Robertson-Walker Line Element.
- Chapter 21 Deriving the Equation of Geodesic Deviation and a Formula for the Riemann Tensor.
- Chapter 22: Stress-Energy Tensor for Short-Wavelength Gravitational Waves.
- Chapter 23: The Derivation of the Quadrupole Formula.
- Chapter 24: Energy Levels of a Free Particle in a Box.