Syllabus
Lagrangian formalism in general relativity -- variational derivation of the field equations.
Conservation laws in general relativity. 3+1 splitting of space-time, Gauss-Codazzi equations.
Initial problem.
Hamiltonian formalism in general relativity.
Notions of causal structure.
Time-like and light-like congruences.
Talks from various areas of relativistic physics.
Annotation
Relativistic astrophysics: relativistic models of stars; Chandrasekhar limit and final stages of stellar evolution. Relativistic cosmology: Hubble expansion; cosmological principle, Robertson-Walker metric; Friedmann models; cosmological redshift; initial stages of evolution of the Universe, anthropic principle; perturbations of cosmological models.
Selected advanced topics. Continuation of the lecture TMF037.