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  • 83-XX Relativity and gravitational theory
  • 83Cxx General relativity
  • 83C60 Spinor and twistor methods; Newman-Penrose formalism

83Cxx General relativity

  • 83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
  • 83C10 Equations of motion
  • 83C15 Exact solutions
  • 83C20 Classes of solutions; algebraically special solutions, metrics with symmetries
  • 83C22 Einstein-Maxwell equations
  • 83C25 Approximation procedures, weak fields
  • 83C27 Lattice gravity, Regge calculus and other discrete methods
  • 83C30 Asymptotic procedures (radiation, news functions, ℋ -spaces, etc.)
  • 83C35 Gravitational waves
  • 83C40 Gravitational energy and conservation laws; groups of motions
  • 83C45 Quantization of the gravitational field
  • 83C47 Methods of quantum field theory
  • 83C50 Electromagnetic fields
  • 83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
  • 83C57 Black holes
  • 83C60 Spinor and twistor methods; Newman-Penrose formalism
  • 83C65 Methods of noncommutative geometry
  • 83C75 Space-time singularities, cosmic censorship, etc.
  • 83C80 Analogues in lower dimensions
  • 83C99 None of the above, but in this section
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