Syllabus
* Part 1: Isometries and applications (M. Ortaggio)
Isometries, Killing equation, conformal Killing equation, isometry groups. Spaces of constant curvature. Stationary and static spacetimes. Spherically symmetric spacetimes. Birkhoff's theorem in GR. Static black holes. Near horizon limits. Basic notions on Bianchi models.
* Part 2: Classification of tensors and applications (V. Pravda)
Petrov classification, Newman-Penrose formalism, Goldberg-Sachs theorem. Higher dimensions: black holes/strings/rings. Basics of Lovelock gravity, f(R) gravity, quadratic gravity, critical gravity and examples of solutions. Kundt spacetimes. Scalar-tensor gravities.
Annotation
Part 1: Isometries, Killing equation, conformal Killing equation, isometry groups. Spaces of constant curvature.
Stationary and static spacetimes. Spherically symmetric spacetimes. Birkhoff's theorem in GR. Static black holes.
Near horizon limits. Basic notions on Bianchi models.
Part 2: Petrov classification, Newman-Penrose formalism, Goldberg-Sachs theorem. Higher dimensions: black holes/strings/rings. Basics of Lovelock gravity, f(R) gravity, quadratic gravity, critical gravity and examples of solutions. Kundt spacetimes. Scalar-tensor gravities.