Introduction / 1: |
Isotropic cosmology: a prelude / 2: |
Equations of motion / 2.1: |
Matter parameters / 2.2: |
Energy conditions / 2.3: |
Singularities / 2.4: |
Linear perturbations / 2.5: |
Hamiltonian formulation of general relativity / 3: |
Constrained systems / 3.1: |
Geometry of hypersurfaces / 3.2: |
ADM formulation of general relativity / 3.3: |
Initial-value problem / 3.4: |
First-order formulations and Ashtekar variables / 3.5: |
Canonical matter systems / 3.6: |
Model systems and perturbations / 4: |
Bianchi models / 4.1: |
Symmetry / 4.2: |
Spherical symmetry / 4.3: |
Linearized gravity / 4.4: |
Global and asymptotic properties / 5: |
Geodesic congruences / 5.1: |
Trapped surfaces / 5.2: |
Asymptotic infinity / 5.3: |
Matching of solutions / 5.4: |
Horizons / 5.5: |
Quantum gravity / 6: |
Constrained quantization and background independence / 6.1: |
Quantum cosmology / 6.2: |
Quantum black holes / 6.3: |
The status of canonical quantum gravity / 6.4: |
Appendix A: Some mathematical methods |
References |
Index |
Introduction / 1: |
Isotropic cosmology: a prelude / 2: |
Equations of motion / 2.1: |
Matter parameters / 2.2: |
Energy conditions / 2.3: |
Singularities / 2.4: |