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General Relativity
* Special relativity (a brief overview) * Equivalence principle* Riemannian differential geometry (a major chunk of the course)* Covariant electrodynamics – Maxwell equations with differential forms* Einstein’s equations * Weak-field limit of G.R.* Variational principle in curved spacetimes* Symmetry principles – Killing vectors* Spherical symmetry (Schwarzschild solution: stars, black holes)* Classical tests of G.R. (deflection of light, planetary orbits etc)
Students will be able to understand and apply the concepts and calculational techniques given in the course description.
Subject to approval of the Head of Department.
For further information see Physics and Astronomy Head of Department
This course introduces the foundations of general relativity - Einstein's theory of gravitational interactions - with applications. We begin with a physical motivation for general relativity in terms of the equivalence principle and tidal forces. We then develop the mathematical framework of differential geometry needed for working in curved space-time. Equipped with the machinery of connections, covariant derivatives, and the Riemann curvature tensor we will investigate the geodesic equations and Einstein's equations, which describe the dynamic relationship between matter and geometry. Applications will include the determination of orbits near stars and black holes, and the bending of light.
Domestic fee $840.00
International Postgraduate fees
* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.
For further information see Physics and Astronomy .