General Relativity


Index


  • Tensors and matter-energy
    • The stress-energy tensor from the action
  • Physics in curved space
  • Applications
    • Celestial mechanics
      • Approximations
      • Precession of Mercury
      • Global positioning system
    • Cosmology
      • Friedman-Robertson-Walker cosmology
    • Gravitational waves
  • More on Tensors
    • The Tensor Product
    • Contraction
    • Tensor Symmetries
    • How Tensors Transform
    • The Metric Tensor
    • The Wedge Product
  • Differential geometry
    • Differentiable manifolds
    • Vector bundles
    • Tangent and cotangent bundles
    • Diffeomorphisms
    • Tensor bundles and jet bundles
    • Connections over vector bundles
    • Lie derivatives
    • Differential forms
    • Exterior derivatives and de Rham cohomology
    • Chain homology
    • Stoke's theorem
  • Pseudo Riemannian manifolds
    • Metric tensor
    • Torsion
    • Levi-Civita connection
    • Conformal rescalings and the Weyl tensor
    • Coordinates and component notation
  • Einstein-Hilbert action
  • Causal structure
  • Penrose diagrams
  • Moving frames
    • Principal bundles
    • Frame bundle
    • External bundle
    • Frame bundle connection
    • Palatini action
    • The equivalence between the Palatini and the Einstein-Hilbert action
    • Spinor reps of the Lorentz group
    • Spinor bundles
    • Dirac and Majorana spinors in curved spacetime

Authors

References

  • D'Inverno, Ray (1992). Introducing Einstein's Relativity. Oxford: Clarendon Press. ISBN 0-19-859686-3.
  • Wald, Robert M. (1984). General Relativity. University of Chicago. ISBN 0-226-87033-2.
  • Dirac, P. A. M. (1996). General Theory of Relativity. Princeton University Press. ISBN 0-691-01146-X.
  • Misner, Thorne, Wheeler (1973). Gravitation. W H Freeman and Company. ISBN 0-7167-0344-0.
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