This course covers the theory of general relativity with applications to black holes and cosmology. Topics include the following. Metrics and Riemannian tensors. The calculus of variations and Lagrangians. Spaces and space-times of general relativity. The Schwarzschild metric and black holes. Photon and particle orbits.  Theoretical cosmology: Universe models.  Dark matter and dark energy.  Observational Cosmology: historical observations, distances, accelerating Universe and the cosmic background radiation.

On completion of this course students will be able to:

Apply the concepts of general relativity and quantum mechanics to the study of white dwarf, neutron stars and black holes; efficiently utilise tensor calculus and general relativity in the study of compact objects and cosmology; understand concepts and solve problems in compact star research and physical cosmology; understand and apply the mathematical and physical basis for modern cosmology; understand how the tools of observational astronomy are utilised to understand the evolution of the Universe; use computational and statistical tools to solve problems; write succinctly and coherently in these areas of science.

Four assignments each worth 25%.  Assignments involving problem solving, computational, numerical methods, statistical, mathematical and essay writing components.

PHYS2013, and one of MATH2305, MATH2405

with MATH3329 and MATH3052.

PHYS3001 and one of MATH2306, MATH2406