In General

> Main ideas.
> Structure and models.
> Topology.
> Topology change and Models.
> Spacetime subsets.
> Asymptotic flatness.
> Null infinity.
> Spatial infinity.
> Horizons and Event horizons.
> Boundaries.
> Singularities and Theorems.
> Singularities – Types.
> Causal structures.
> Causality and Quantum Causality.
> Causality conditions.
> Causality violations.
> Energy conditions.
> Axisymmetry.
> Spherical symmetry.
> Types of spacetimes.

More...

s.a. Gravitation.
s.a. General Relativity.
s.a. Quantum Gravity.
s.a. Cosmology.

Black Holes

> In general.
> Solutions – 2D.
> Solutions – 3D.
> Solutions – 4D.
> Solutions – Higher dimensions.
> Solutions – Other theories.
> Uniqueness and hair.
> Geometry and topology.
> Perturbations and QNMs.
> Phenomenology and Types.
> Black-hole formation.
> Black-hole analogs.
> Laws of black-hole dynamics.
> Thermodynamics.
> Thermodynamics – Types.
> Radiation and Entropy.
> Information (loss).
> Quantum black holes.

Quantum Spacetime

> In general.
> Dimensionality.
> Proposals.
> Spacetime foam.
> Discrete models.
> Causal sets and Dynamics.
 

Specific Types

> Bianchi models – General.
> Bianchi I and Bianchi IX.
> Bianchi II-V and Bianchi VI-VIII.
> C-metric.
> de Sitter spacetime.
> Anti-de Sitter and AdS-cft.
> Friedmann equation and solutions.
> FLRW models.
> FLRW geometry.
> FLRW perturbations.
> FLRW quantum cosmology.
> Gödel solutions.
> Gowdy models.
> Kantowski-Sachs.
> Kerr solutions.
> Generalized Kerr solutions.
> Kerr – Particles and Fields.
> Kerr-Newman solutions.
> Minkowski spacetime.
> Reissner-Nordström solutions.
> Rindler spacetime.
> Schwarzschild solutions.
> Schwarzschild – Geometry.
> Schwarzschild – Perturbations.
> Schwarzschild-de Sitter solutions.
> Wormholes.