ADVANCED MECHANICS AND GENERAL RELATIVITY

  • Newtonian gravity
  • Relativistic mechanics
    • Minkowski metric
  • Tensors
    • Introduction in two dimensions
      • Rotation
      • Scalar
  • Curved space
  • Scalar field theory
  • Tensor field theory
  • Schwarzschild space-time
  • Gravitational radiation
  • Additional topics
    • Linearized Kerr
      • Spinning charged spheres
      • Static analogy
      • General relativity and test particles
      • Kerr and the weak field
      • Physics of Kerr
    • Kerr geodesics
      • Geodesic Lagrangian
      • Runge–Kutta
      • Equatorial geodesic example
    • Area minimization
    • A relativistic string solution
      • Nambu–Goto variation
      • Temporal string parametrization