The theories of special and general relativity are presented with applications to black holes and cosmology. Topics to be covered include the following. Metrics and Riemannian tensors. The calculus of variations and Lagrangians. Spaces and space-times of special and general relativity. Photon and particle orbits. Model universes. The Schwarzschild metric and black holes. Gravitational lensing.

Other Information: MATH3329 and PHYS3001, cover relativity, both special and general, and hence are relevant to astronomy. For more details, see the Mathematics and Physics sections of the Undergraduate Handbook.

On satisfying the requirements of this course, students will have the knowledge and skills to:

1. Explain the fundamental concepts of the theories of special and general relativity and their role in the study of compact stars and modern cosmology.
2. Demonstrate accurate and efficient use of tensor calculus in solving problems in special and general relativity.
3. Demonstrate capacity for mathematical reasoning through analyzing, proving and explaining concepts in the theories of relativity.
4. Solve problems in cosmology and black hole physics in different astrophysical contexts.

Assessment will be based on:

• Assignments (50%; LO 1-4)
• Major project (50%; LO1-4)

36 lectures, tutorials by arrangement

MATH2305 or MATH2405 or ENGN2212 or MATH2320.

with MATH3050.