These notes are arranged as a course spine. The chapter order follows the structure already laid out in Obsidian, with each branch intended to remain navigable as the archive grows: foundations first, applications next, then the wider cosmological and frontier questions.
Featured Lecture
Hawking radiation derived from Bogoliubov transformations, written as a full set of study notes.
Black-Hole Mechanics
Energy extraction in Kerr, the ergoregion, and the transition from classical black-hole kinematics to quantum horizon physics.
Reference Shelf
Return to the supporting PDF library while working through the note sequence.
Sequence
I. Preliminaries
Historical orientation, mathematical background, and the kinematic framework needed before curvature enters.
II. The General Theory
The conceptual and variational core of the subject: covariance, field equations, curvature, and formal structure.
III. Applications
Solutions of the Einstein equations, stars, singularities, collapse, and the anatomy of black-hole spacetimes.
IV. Cosmology
Large-scale dynamics, observational parametrization, and standard as well as nonstandard cosmological models.
V. Frontiers
Quantum gravity and neighboring approaches where the classical theory becomes incomplete, reformulated, or statistical.
Guiding Idea
The sequence is meant to preserve continuity. Exact solutions should not detach from geometric principles, and frontier questions should not float free of the classical framework that gives them content. The Hawking-radiation note now serves as one explicit bridge between these domains: classical collapse geometry on the one hand, quantum particle creation on the other.