phenomenon 50.6 No material surface

Rests on

• depends_on proposition 45.18 The one-way membrane ¶
  • 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 13.82 Vector field ¶
      • 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 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 13.147 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:04-schwarzschild-black-holes@proof-10 ¶
• depends_on theorem 19.32 Conservation of energy ¶
  • depends_on definition 19.31 Energy ¶
    • depends_on definition 19.30 Conservative force and potential energy ¶
      • depends_on equation 19.2 eq:newt-second-law ¶
      • 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 ¶
    • depends_on definition 19.29 Kinetic energy ¶
      • depends_on definition 18.10 Velocity ¶
        • depends_on definition 7.26 Derivative of a function at a point ¶
        • depends_on definition 18.9 Position ¶
        • depends_on definition 13.9 Tangent vector to a curve ¶
      • depends_on definition 19.3 Mass ¶
        • depends_on definition 18.3 Particle ¶
        • depends_on postulate 19.1 Inertia ¶
  • depends_on equation 19.19 eq:newt-conservative ¶
  • depends_on equation 19.4 eq:newt-fma ¶
  • proves proof ch:02-newtonian-dynamics@proof-9 ¶
• proves proof ch:09-exp-black-holes@proof-6 ¶

Supports

Nothing declares a dependency on this node yet.