This course is an introduction to the modern theory of classical gravity.
Generalizing from special relativity, we show the need for and develop the formalism of differential geometry. This allows us to study the motion of particles and fields in a gravitational field as motion through a curved spacetime. It also leads to the introduction of the Einstein field equations for the dynamics of the spacetime itself. Using these insights, we give an introduction to a variety of important physical consequences and applications such as relativistic corrections to the Newtonian gravity, relativistic stars, gravitational waves, black holes and spacetime singularities, and relativistic Big Bang cosmology, concluding with
an outlook towards a quantum theory of gravity.
Lectures, problem sessions
Spacetime and Geometry: An Introduction to General Relativity, by Sean Carroll, Benjamin Cummings, 2004. This textbook is required.
Form of examination
8 January 2013
Bachelor of Physics courses
Lecturer: Prof.dr. A. Achúcarro (Ana)