| 1 |
Geometric Viewpoint on Physics in Flat Spacetime: Vectors and Dual Vectors, Tensors
Special Relativity
|
Problem set 1 out |
| 2 |
Geometric Viewpoint on Physics in Flat Spacetime: Energy and Momentum, Conserved Currents, Stress Energy Tensor
Transformation Law for Tensors
|
Problem set 1 due
Problem set 2 out
|
| 3 |
Metric in a Curved Space
Orthonormal and Coordinate Bases; Derivatives; Tensor Densities; Differential Forms and Integration
Gauge/Coordinate Transformations
|
Problem set 2 due |
| 4 |
Metric in a Curved Space (cont.)
Orthonormal and Coordinate Bases; Derivatives; Tensor Densities; Differential Forms and Integration (cont.)
Gauge/Coordinate Transformations (cont.)
|
Problem set 3 out |
| 5 |
Connection and Curvature, Geodesics
Introduction to Curvature
|
Problem set 3 due
Problem set 4 out
|
| 6 |
Curvature Continued: Geodesic Deviation, Bianchi Identity
Killing Vectors and Symmetries
|
Problem set 4 due
Problem set 5 out
|
| 7 |
Einstein's Equation and Gravitation
Cosmological Constant
Hilbert Action
|
Problem set 5 due
Problem set 6 out
|
| 8 |
Weak Field/Linearized General Relativity
Gauge Invariant Characterization of Gravitational Degrees of Freedom
Spacetime of an Isolated Weakly Gravitating Body
|
Problem set 6 due
Problem set 7 out
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| 9 |
Gravitational Waves |
Problem set 7 due
Problem set 8 out
|
| 10 |
Gravitational Lensing |
Problem set 8 due |
| 11 |
Cosmology
Friedmann-Robertson-Walker Solution; Distance Measures and Redshift
Our Universe
|
Problem set 9 out |
| 12 |
Schwarzschild Solution
Birkhoff's Theorem, Metric of a Spherical "Star"
|
Problem set 9 due
Problem set 10 out
|
| 13 |
Black Holes
Collapse to Black Hole; Orbits of a Black Hole
Kerr and Reissner-Nordstrom Solutions
|
Problem set 10 due
Problem set 11 out
|
| 14 |
Advanced Topics and Current Research in General Relativity |
Problem set 11 due |