General Relativity for Mathematicians

  • Preliminaries
  • Spacetimes
  • Observers
  • Electromagnetism and matter
  • The Einstein Field Equation
  • Photons
  • Cosmology
  • Further Applications
    • Review and notation
  • Optional Exercises: Relativity
    • Lorentzian algebra
    • Differential topology and geometry
    • Chronology and causality
    • Isometries and characterizations of gravitational fields
    • The Einstein field equation**
    • Gases
  • Optional Exercises: Newtonian analogues
    • Review and notation
    • Maxwell’s equations
    • Particles
    • Gravity