advanced general relativity – stewart

  • Differential geometry
  • Spinors
  • Asymptopia
    • Introduction
    • Asymtopia for Minkowski spacetime
    • Asymptotic simplicity
    • Conformal transformation formulae
    • Seri and peeling
    • The choice of conformal gauge
    • A spin basis adapted to f
    • Asymptotic symmetry
    • Spin-weighted spherical harmonics
    • Asymptotic solution of the field equations
    • The Bondi 4-momentum covector
    • The positivity of the Bondi mass
  • The characteristic initial value problem
    • Quasilinear first order hyperbolic systems of equations
  • Appendix A Dirac spinors
  • Appendix B The Newman-Penrose formalism