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Readings

The readings are from Misner, Thorne, and Wheeler. Gravitation. Worth, 1972. ISBN: 0716703440.

LEC # TOPICS READINGS
1 Special Relativity Chapter 1
2 Special Relativity, and Accelerated Motion Chapter 2.9, and 6.1-6.2
3 Vectors, One-Forms and Tensors Chapter 2.1-2.5, 3.1-3.2, and 8.3
4 Metric, Coordinate Bases, and Change of Basis Chapter 2.6-2.8, 8.4, and 9.1-9.5
5 Orthonormal Bases, Gradient, and Connection Chapter 3.3-3.5, 6.3-6.4, and 8.5
6 Number-Flux and Stress-Energy Chapter 5
7 Parallel Transport and Geodesics Chapter 10
8 Hamiltonian Dynamics Chapter 13.4
9 Curvature Chapter 8.7, 11, and 14.1
10 Curvature vs. Acceleration Chapter 6.4-6.6, 13, and 16.4
11 Postulates of General Relativity Chapter 16
12 Einstein Equations Chapter 17
13 Gauge Invariance and the Hilbert Action Chapter 21
14 Linear Perturbation Theory Chapter 18 and 35
15 Gravitomagnetism and Spin Precession
16 Gravitational Radiation, and Quadrupole Formula Chapter 36 and 37
17 Gravitational Wave Astronomy
18 Spherical Solutions to the Einstein Equations Chapter 23
19 White Dwarfs and Neutron Stars Chapter 24
20 Schwarzschild and its Geodesics Chapter 25
21 4 Classical Tests of General Relativity Chapter 38 and 40
22 Kruskal Coordinates, and Wormholes Chapter 31
23 Hawking Radiation, and Charged Black Holes Chapter 33
24 Kerr Solution
25 Cosmology
26 Cosmology (cont.)