# PHY1483H F (Arts & Sci 483): Relativity Theory I

Course Title | PHY1483H F (Arts & Sci 483) |
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Session | fall |

Year of Study | 1st year |

Time and Location |
This cross listed course is offered at together with PHY483F. For course schedule please see: PHY483F |

Course Homepage | Link to Course Homepage |

A.W.
Peet |

#### Official Description

**This cross listed course is offered at together with PHY483F. For course schedule please see**

**https://www.physics.utoronto.ca/students/undergraduate-courses/current/phy483h1**

**Special relativity and tensors**

Galilean relativity and 3-vectors. Special relativity and 4-vectors. Relativistic particle. Electromagnetism. Constant relativistic acceleration.

**Spacetime**

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.

**Spacetime curvature**

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.

**Gravitational waves**

The wave equation for metric perturbations. Solving the linearized Einstein equations. Energy loss from gravitational radiation.

**ASSESSMENT**

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

Textbook |
M.P. Hobson, G. Efstathiou, and A.N. Lasenby, General Relativity: An Introduction for Physicists (Cambridge, 2006). |
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