PHY1483H F (ARTS & SCI 483)
Relativity Theory I
This cross listed course is offered at together with PHY483F. For course schedule please see
Relativity Theory I
Special relativity and tensors
Galilean relativity and 3-vectors. Special relativity and 4-vectors. Relativistic particle. Electromagnetism. Constant relativistic acceleration.
Equivalence principle. Spacetime as curved manifold. Tensors in curved spacetime. Rules for tensor index gymnastics.
The covariant derivative
How basis vectors change: the affine connection. Covariant derivative and parallel transport. Geodesic equations.
Curvature and Riemann tensor. Riemann normal coordinates and the Bianchi identity. Information in Riemann.
The physics of curvature
Geodesic deviation. Tidal forces. Taking the Newtonian limit.
The power of symmetry, and Einstein's equations
Lie derivatives. Killing tensors. Maximally symmetric spacetimes. Einstein's equations.
Black hole basics
Birkhoff's theorem and the Schwarzschild solution. TOV equation for a star. Geodesics of Schwarzschild.
More advanced aspects of black holes
Causal structure of Schwarzschild. Reissner-Nordstrom black holes. Kerr black holes. The Penrose process.
Classic experimental tests of GR
Gravitational redshift. Planetary perihelion precession. Bending of light. Radar echoes. Geodesic precession of gyros. Accretion disks.
The wave equation for metric perturbations. Solving the linearized Einstein equations. Energy loss from gravitational radiation.
Four homework assignments worth 10% each, midterm 20%, final exam 35%, tutorial participation 5%.
This cross listed course is offered at together with PHY483F. For course schedule please see: TBA
['M.P. Hobson, G. Efstathiou, and A.N. Lasenby, General Relativity: An Introduction for Physicists (Cambridge, 2006).']
- course title
- PHY1483H F (ARTS & SCI 483)
- cross listed course
- time and location
This cross listed course is offered at together with PHY483F. For course schedule please see: PHY483F
- Course URL