Expert-level black hole physics covering formation, spacetime structure, accretion disks, jets, Hawking radiation, gravitational waves from mergers, and observational evidence.
Schwarzschild metric: non-rotating black hole, event horizon at r equals 2GM over c squared. Kerr metric: rotating black hole, ergosphere, frame dragging. Event horizon: one-way membrane, nothing escapes once inside. Singularity: point of infinite density, classical GR breaks down here. Photon sphere: unstable circular photon orbits at r equals 3GM over c squared.
Accretion disk: infalling matter forms disk, releases gravitational energy as radiation. ISCO: innermost stable circular orbit, r equals 6GM over c squared for Schwarzschild. Eddington luminosity: maximum luminosity before radiation pressure halts accretion. Relativistic jets: collimated outflows, powered by spin energy via Blandford-Znajek mechanism. Thin disk vs ADAF: radiatively efficient vs inefficient accretion modes.
Virtual pairs near horizon: one falls in, one escapes, black hole radiates thermally. Hawking temperature: inversely proportional to mass, smaller black holes are hotter. Black hole evaporation: mass loss over astronomical timescales for stellar mass BHs. Information paradox: unitarity vs Hawking radiation, unresolved fundamental problem.
Gravitational waves: LIGO and Virgo BH mergers, chirp signal, mass measurement. EHT: Event Horizon Telescope imaged M87 and Sgr A star shadows. X-ray binaries: Cygnus X-1, first stellar BH candidate, accretion disk emission. Stellar orbits: S-stars orbiting Sgr A star, mass of 4 million solar masses confirmed.
| Pitfall | Fix |
|---|---|
| Thinking of BH as vacuum cleaner | Only captures matter within gravitational influence |
| Confusing Schwarzschild and Kerr | Realistic BHs rotate, Kerr is more physical |
| Ignoring spin in accretion efficiency | Maximally spinning BHs are more efficient |
| Misinterpreting EHT images | Shadow size relates to photon ring not event horizon directly |