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
THOMAS A. MOORE is a Professor in the physics department of Pomona College, California, USA.
'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. It is indeed a workbook, which I trust will be a great success.' - Sergio Picozzi, University of Maryland, USA '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, USA 'Not since Misner, Wheeler & Thorne has there been such a useful resource.' - Paul McKenna, Glasgow Caledonian University, UK
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