General Relativity

Generalization of special relativity.

Generalization of special relativity; Effects of gravity; curved spacetimes; metrics; particle paths as geodesics; light and null geodesics; Curved spacetimes: Tensors as a general tool in curved spacetime; geodesic equations; curvature and its description; Geodesic deviation; Distributed matter and the stress-energy tensor; Einstein equations in general and in vacuum; Lambda term; Spherically symmetric vacuum solution: Schwarzschild metric; equation of motion in the Schwarzschild metric; Properties of the orbits of particles and photons; Infall into a black hole; Event horizon and infinite redshift surfaces; Weak-field limits: Gravitational lenses; time delays and periastron advance; Binary pulsar; Gravitational collapse; Rotating black holes; The Kerr metric; Its singularities and horizons; properties particles and photon orbits; inertial frame dragging