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Mathematical Sciences Classification System

83Cxx - General relativity

• 8
  83C05
  Einstein's equations (general structure, canonical formalism, Cauchy problems)
• 1
  83C10
  Equations of motion
• 2
  83C15
  Exact solutions
• 2
  83C20
  Classes of solutions; algebraically special solutions, metrics with symmetries
• 3
  83C22
  Einstein-Maxwell equations
• 83C25
  Approximation procedures, weak fields
• 83C27
  Lattice gravity, Regge calculus and other discrete methods
• 2
  83C30
  Asymptotic procedures (radiation, news functions, H-spaces, etc.)
• 2
  83C35
  Gravitational waves
• 83C40
  Gravitational energy and conservation laws; groups of motions
• 4
  83C45
  Quantization of the gravitational field
• 1
  83C47
  Methods of quantum field theory [See also 81T20]
• 1
  83C50
  Electromagnetic fields
• 1
  83C55
  Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
• 4
  83C57
  Black holes
• 8
  83C60
  Spinor and twistor methods; Newman-Penrose formalism
• 1
  83C65
  Methods of noncommutative geometry [See also 58B34]
• 2
  83C75
  Space-time singularities, cosmic censorship, etc.
• 83C80
  Analogues in lower dimensions
• 83C99
  None of the above, but in this section