Geometrical foundations of space-time theories, geometrical objects, affine geometry, and metric geometry; structure of space-time theories, symmetry, and conservation laws; Newtonian mechanics; special relativity; foundations of general relativity, Mach’s principle, principle of equivalence, principle of general covariance, and Einstein’s equations; solution of Einstein’s equations; experimental tests of general relativity; conservation laws in general relativity, gravitational radiation, and motion of singularities; and cosmology.

Fall semester.