phenomenon 45.12 Efficiency of accretion onto compact objects

Rests on

• depends_on proposition 45.10 Circular orbits and their energy ¶
  • depends_on proposition 45.6 Radial equation and effective potential ¶
    • depends_on proposition 13.141 The invariant of a Killing vector along a geodesic ¶
      • 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 13.146 Parallel transport and autoparallels ¶ ↺
      • depends_on proposition 13.140 Killing's equation ¶
        • depends_on definition 13.139 Killing vector ¶
        • depends_on definition 13.149 Metric compatibility ¶ ↺
        • depends_on proposition 13.127 Component formulas ¶
        • depends_on theorem 13.150 Levi-Civita connection and contorsion ¶
        • depends_on theorem 13.152 Riemann tensor; Ricci identity with torsion ¶
        • proves proof ch:11-manifolds-tensors-curvature@proof-37 ¶
      • proves proof ch:11-manifolds-tensors-curvature@proof-38 ¶
    • depends_on proposition 40.3 Normalization of the four-velocity ¶
      • depends_on definition 38.6 Minkowski metric and interval ¶
        • depends_on proposition 38.5 The invariant interval ¶
      • depends_on equation 40.2 eq:rdyn-fourvelocity ¶
      • proves proof ch:04-relativistic-dynamics@proof-1 ¶
    • 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 ¶ ↺
      • proves proof ch:04-schwarzschild-black-holes@proof-1 ¶
    • proves proof ch:04-schwarzschild-black-holes@proof-3 ¶
  • proves proof ch:04-schwarzschild-black-holes@proof-6 ¶
• proves proof ch:04-schwarzschild-black-holes@proof-7 ¶

Supports

Nothing declares a dependency on this node yet.