proposition 44.29 Linearized field equations

Rests on

• depends_on postulate 44.3 Einstein field equations ¶
  • depends_on definition 44.2 Einstein tensor ¶
    • depends_on definition 13.153 Contractions ¶
      • depends_on definition 13.117 Metric tensor of signature $(p,q)$ ¶
        • depends_on definition 13.48 Differentiable manifold ¶
        • depends_on definition 13.84 Tensor ¶
      • depends_on theorem 13.152 Riemann tensor; Ricci identity with torsion ¶
        • depends_on definition 13.145 Affine connection ¶
        • depends_on definition 13.147 Torsion ¶
        • depends_on proposition 7.105 Clairaut–Schwarz ¶
        • proves proof ch:11-manifolds-tensors-curvature@proof-42 ¶
• depends_on theorem 44.27 Newtonian correspondence of the field equations ¶
  • depends_on definition 44.15 Dust ¶
    • depends_on definition 40.2 Four-velocity ¶
      • depends_on definition 38.12 Proper time ¶
        • depends_on definition 38.6 Minkowski metric and interval ¶
        • depends_on proposition 38.5 The invariant interval ¶
      • depends_on definition 40.1 Four-vector ¶
        • depends_on definition 38.6 Minkowski metric and interval ¶ ↺
        • depends_on equation 38.14 eq:lor-invariance-condition ¶
    • depends_on phenomenon 40.6 Mass–energy equivalence ¶
      • depends_on equation 40.4 eq:rdyn-E-p ¶
      • proves proof ch:04-relativistic-dynamics@proof-3 ¶
  • depends_on proposition 44.26 Newtonian limit of geodesic motion ¶
    • depends_on postulate 43.1 Geodesic motion ¶
    • proves proof ch:03-einstein-field-equations@proof-14 ¶
  • depends_on proposition 44.4 Trace-reversed form ¶
    • depends_on postulate 44.3 Einstein field equations ¶ ↺
    • proves proof ch:03-einstein-field-equations@proof-1 ¶
  • proves proof ch:03-einstein-field-equations@proof-15 ¶
• proves proof ch:03-einstein-field-equations@prooflink-1 ¶

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