Physics

General Relativity

Part of General Relativity, level 7. About 58 hours of study across the topics below.

Geometric Foundations

  1. Tensor Calculusindex notation, covariant/contravariant vectors, Einstein summation5.5–10 h
  2. Differential Geometry Foundationsmetrics, connections, geodesics, curvature tensors6.5–12 h
  3. Equivalence Principleweak and strong forms, inertial vs gravitational mass, thought experiments6.5–12 h

Einstein's Theory

  1. Curved Spacetimemetric tensor, light cones, redshift, proper time6.5–12 h
  2. Einstein Field Equationsderivation context, energy-momentum tensor, cosmological constant6.5–12 h
  3. Schwarzschild Solutiongeodesics, perihelion precession, light bending, Shapiro delay6.5–12 h
  4. Black Holesevent horizon, singularity, Kerr solution, thermodynamics of black holes6.5–12 h
  5. Gravitational Waveslinearized theory, quadrupole radiation, detection (LIGO), sources6.5–12 h
  6. Tests of GR & Cosmology Introexperimental verification, cosmology applications6.5–12 h