The course briefly covers Newtonian gravity, special relativity and Minkowski spacetime, before moving on to relativistic electrodynamics with the focus on the energy-momentum tensor, relativistic hydrodynamics, non-inertial reference frames and the principle of equivalence, Riemannian geometry and curved space-time, the principle of covariance and Einstein's field equations, linearized field equations and gravitational waves, as well as Schwarzschild's solution with the application to a static black hole. Prerequisite: PHYS 3650 and PHYS 3496 or PHYS 2490; or permission of the department. Pre- or corequisite: PHYS 4646 or the former PHYS 3640.