Table of Contents

  1. Why are the Einstein Field Equations so Hard to Solve?
  2. A Complex Potential
  3. Spacetime Symmetries
  4. The Stress-Energy Tensor
  5. The Complex Potential Formalism
  6. Tomimatsu-Sato Solutions
  7. Solution Generating
  8. A Plethora of Potentials
  9. The Electrovac Geroch Group
  10. A Homogeneous Hilbert Problem
  11. Integral Equation Formulations of the HHP
  12. On the Axis
  13. A Few Simple HHP Solutions
  14. Proving Geroch's Conjecture