Classes are on T TH 11:00-12:15 in Lewis Room 104
Classes:
- 08/22/2017 - Special Relativity. [Carroll Sects. 1.1-1.3].
- 08/24/2017 - Vectors and tensors [Carroll Sects. 1.1-1.8].
- 09/05/2017 - Stress-energy tensor, perfect fluids. [Carroll Sects. 1.9].
- 09/07/2017 - Classical field theory. Manifolds and maps. [Carroll Sects. 1.10, 2.2].
- 09/12/2017 - Vectors and tensors in curved space times. [Carroll Sects. 2.3, 2.4].
- 09/14/2017 - Metric. Free-falling frames. Local inertial coordinates. Tensor densities. [Carroll Sects. 2.5, 2.8].
- 09/19/2017 - Differential forms. [Carroll Sects. 2.9].
- 09/21/2017 - More on differential forms. Integration. [Carroll Sects. 2.9, 2.10].
- 09/26/2017 - Gravitational potential. Newtonian limit. Christoffel's symbols. Covariant derivatives. [Carroll Sects. 3.2, 4.1].
- 09/27/2017 - Torsion 1-form. Curvature 2-form. Moving and coordinate frames. [Carroll Sect. 3.2, Appendix J].
- 09/28/2017 - Differential geometry and tensor calculus on the 2-sphere. [Carroll Sect. 3.7].
- 10/03/2017 - Geodesics on the sphere. Properties of geodesics and curvature tensor. Parallel transport. Bianchi identities. Covariance. [Carroll Sects. 3.3, 3.4, 3.7, 4.1].
- 10/05/2017 - Einstein's equations. [Carroll Sects. 4.2].
- 10/10/2017 - Einstein-Hilbert action. [Carroll Sects. 4.3].
- 10/12/2017 - Mid-term test.
- 10/17/2017 - Schwarzschild metric. Birkhoff theorem. [Carroll Sects. 5.1-5.3].
- 10/24/2017 - Properties of the Schwarzchild metric. Redshift. Local observers. [Carroll Sects. 5.1-5.4].
- 10/26/2017 - Geodesics of the Schwarzschild metric. Capture cross section of a black hole. [Carroll Sect. 5.4].
- 10/31/2017 - Maximally-extended Schwarzschild metric. Penrose diagrams. Stars and black holes. [Carroll Sects. 5.7.-5.8].
- 11/02/2017 - Embedding of the Schwarzschild metric. Stars and black holes. Reissner-Nordstrom and Kerr spacetimes. [Carroll Sects. 6.5,6.6].
- 11/07/2017 - Kerr metric. Experimental tests of GR in weak regime. [Carroll Sects. 5.5, 6.6].
- 11/09/2017 - Maximally symmetric spacetimes. Cosmology. [Carroll Sects. 8.1-8.3].
- 11/14/2017 - Hubble law. Solution of Friedmann equations for different scenarios. [Carroll Sects. 8.4,8.5].
- 11/16/2017 - Thermal history of the universe. Inflation. [Carroll Sects. 8.7,8.8].
- 11/28/2017 - Gravitational wave: basics. [Carroll Sects. 7.1-7.4].
- 11/30/2017 - Geodesics deviation. Production and detection of gravitational waves. [Carroll Sects. 7.5, 7.7].
Next class:
- 12/05/2017 - Final exam due Tuesday, December 5, noon CST.