This module introduces the student to the ideas and formalism of General Relativity. Beginning with the Principle of Equivalence, it goes on to look at some of the solutions of Einstein's field equations and their applications in cosmology. This should also give the student an understanding of contemporary ideas and problems associated with the Standard Big Bang Model of the Universe.
Introduction (2 lectures)
Inadequacy of Newtonian Gravity
Inadequacy of Special Relativity
Mach's Principle
Einstein's Principle of Equivalence
The Mathematics of General Relativity (4 lectures)
Tensors and Manifolds
Riemannian Space
Geodesics and Curved Spacetime
Tensor Calculus
The Principles of General Relativity (4 lectures)
Einstein's Field Equations
The Field Equations in the Presence of Matter
The Schwarzchild Solution
Classical tests of General Relativity
Black Holes
Cosmology (8 lectures)
The Cosmological Principles
The RobertsonWalker metric
The Friedmann Models
Matterradiation coupling
Inflationary models
The case for dark matter and energy
