general relativity – 2nd edition – norbert strautmann

  • Part I The General Theory of Relativity
    • Introduction
    • Physics in External Gravitational Fields
    • Einstein’s Field Equations
  • Part II Applications of General Relativity
    • The Schwarzschild Solution and Classical Tests of General Relativity
    • Weak Gravitational Fields
    • The Post-Newtonian Approximation
    • White Dwarfs and Neutron Stars
    • Black Holes
    • The Positive Mass Theorem
    • Essentials of Friedmann–Lemaître Models
  • Part III Differential Geometry
    • Differentiable Manifolds
    • Tangent Vectors, Vector and Tensor Fields
    • The Lie Derivative
    • Differential Forms
  • Appendix A Fundamental Equations for Hypersurfaces
  • Appendix B Ricci Curvature of Warped Products
  • Appendix C Frobenius Integrability Theorem
  • Appendix D Collection of Important Formulas