PSI 2017/2018 - Gravitational Physics (Gregory)

Lightning Review of Differential Geometry: Manifolds, Tensors, Exterior & Lie Derivatives.

Orthonormal Bases, Connection, Curvature, and Cartan's Structure Equations.

Applying Cartan: Spherically Symmetric Spacetimes -- Schwarzschild, Relativistic Stars.

Penrose diagrams, Kerr metric: Geodesics in Equatorial Plane, ISCO.

Euclidean Trick, Variational Principles: Einstein-Hilbert Action.

Submanifolds: Gauss-Codazzi Equations, Gibbons-Hawking Term.

Domain Wall, Symmetry-Broken Vacua.

Euclidean QG: Black Hole Temperature and Entropy.

Accelerated Horizons, (A)dS Black Holes, Thermodynamics with Lambda.

Kaluza-Klein Theory.

Large Extra Dimensions: Domain Wall World, Randall-Sundrum Model, P-Branes.

Gravitational Perturbation Theory.