phenomenon 50.5 Black-hole masses from gravitational waves

Rests on

• depends_on phenomenon 27.35 Kepler's third law ¶
  • depends_on equation 27.47 eq:cfs-conic ¶
  • depends_on equation 27.22 eq:cfs-kepler-second ¶
  • depends_on theorem 27.30 Reduction of the two-body problem ¶
    • depends_on equation 19.38 eq:newt-cm-position ¶
    • depends_on equation 19.4 eq:newt-fma ¶
    • depends_on postulate 19.48 Newton's third law ¶
      • depends_on definition 19.2 Interaction ¶
        • depends_on definition 18.3 Particle ¶
        • depends_on postulate 19.1 Inertia ¶
      • depends_on postulate 19.8 Newton's second law ¶
        • depends_on definition 19.5 Linear momentum ¶
        • depends_on postulate 19.6 Newton's first law ¶
    • proves proof ch:10-central-forces-statics@proof-18 ¶
  • proves proof ch:10-central-forces-statics@proof-21 ¶
• depends_on theorem 45.1 Schwarzschild solution ¶
  • depends_on equation 13.306 eq:mfd-riemann ¶
  • depends_on postulate 43.1 Geodesic motion ¶
  • depends_on theorem 13.150 Levi-Civita connection and contorsion ¶
    • depends_on definition 13.145 Affine connection ¶
      • depends_on definition 13.90 Mixed tensor ¶
        • depends_on definition 13.89 Contravariant and covariant tensors ¶
        • depends_on definition 13.88 General coordinate transformation ¶
      • depends_on definition 13.82 Vector field ¶
        • depends_on definition 13.81 Vector on a manifold ¶
    • depends_on definition 13.117 Metric tensor of signature $(p,q)$ ¶
      • depends_on definition 13.48 Differentiable manifold ¶
        • depends_on definition 13.47 Differentiable structure ¶
      • depends_on definition 13.84 Tensor ¶
        • depends_on definition 13.83 Covector ¶
        • depends_on definition 13.81 Vector on a manifold ¶ ↺
    • depends_on definition 13.149 Metric compatibility ¶
      • depends_on definition 13.145 Affine connection ¶ ↺
      • depends_on definition 13.117 Metric tensor of signature $(p,q)$ ¶ ↺
      • depends_on definition 13.146 Parallel transport and autoparallels ¶
        • depends_on definition 13.145 Affine connection ¶ ↺
    • depends_on definition 13.147 Torsion ¶
      • depends_on definition 13.145 Affine connection ¶ ↺
    • proves proof ch:11-manifolds-tensors-curvature@proof-41 ¶
  • proves proof ch:04-schwarzschild-black-holes@proof-1 ¶
• proves proof ch:09-exp-black-holes@proof-5 ¶

Supports

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