equation 13.306 eq:mfd-riemann

Rests on

No declared or derived dependency edges point away from this node yet.

Supports

• depends_on proposition 45.16 Curvature at the horizon and at the centre ¶
• depends_on theorem 45.4 Jebsen–Birkhoff ¶
  • depends_on corollary 45.5 No monopole gravitational radiation ¶
  • depends_on theorem 45.23 Oppenheimer–Snyder collapse ¶
    • depends_on phenomenon 45.24 Compact objects exist above every cold-support limit ¶
• depends_on theorem 45.1 Schwarzschild solution ¶
  • depends_on phenomenon 50.4 A ring of light at event-horizon scale ¶
  • depends_on phenomenon 50.5 Black-hole masses from gravitational waves ¶
  • depends_on phenomenon 45.52 The shadow ¶
    • depends_on phenomenon 50.4 A ring of light at event-horizon scale ¶ ↺
  • depends_on proposition 45.14 Isotropic coordinates ¶
    • depends_on phenomenon 53.4 Excess delay of a radar echo passing the Sun ¶
      • tests experiment Shapiro: the radar time delay ¶
        • cites (method) derived bib 6956 A test of general relativity using radio links with the Cassini spacecraft ¶
        • cites (evidence) derived bib 6956 A test of general relativity using radio links with the Cassini spacecraft ¶ ↺
        • cites (evidence) derived bib 6956 A test of general relativity using radio links with the Cassini spacecraft ¶ ↺
        • cites (evidence) derived bib 7319 A two-solar-mass neutron star measured using Shapiro delay ¶
        • cites (method) derived bib Viking relativity experiment - Verification of signal retardation by solar gravity ¶
        • cites (evidence) derived bib Viking relativity experiment - Verification of signal retardation by solar gravity ¶ ↺
        • cites (history) derived bib 26 Fourth Test of General Relativity ¶
        • cites (history) derived bib 26 Fourth Test of General Relativity ¶ ↺
        • cites (method) derived bib 22 Fourth Test of General Relativity: Preliminary Results ¶
        • cites (evidence) derived bib 22 Fourth Test of General Relativity: Preliminary Results ¶ ↺
    • depends_on phenomenon 42.8 Shapiro time delay ¶
  • depends_on proposition 45.43 Static acceleration and surface gravity ¶
    • depends_on proposition 45.46 The first law ¶
      • depends_on theorem 45.49 Hawking temperature; imported ¶
        • depends_on proposition 45.51 Evaporation: scale and timescale ¶
    • depends_on theorem 45.49 Hawking temperature; imported ¶ ↺
  • depends_on proposition 45.16 Curvature at the horizon and at the centre ¶ ↺
  • depends_on proposition 45.19 Kruskal–Szekeres coordinates ¶
  • depends_on proposition 45.18 The one-way membrane ¶
    • depends_on phenomenon 50.6 No material surface ¶
    • depends_on theorem 45.47 Area theorem; imported ¶
  • depends_on proposition 45.6 Radial equation and effective potential ¶
    • depends_on proposition 45.10 Circular orbits and their energy ¶
      • depends_on phenomenon 45.12 Efficiency of accretion onto compact objects ¶
    • depends_on proposition 45.8 Orbit equation ¶
      • depends_on phenomenon 53.2 Measured deflection of starlight at the solar limb ¶
        • tests experiment Dyson, Eddington and Davidson: the eclipse of 1919 ¶
      • depends_on phenomenon 53.1 Measured anomalous advance of Mercury's perihelion ¶
        • tests experiment Le Verrier and the perihelion of Mercury ¶
      • depends_on phenomenon 45.9 Relativistic advance of the periastron ¶
    • depends_on proposition 45.21 Radial plunge: the cycloid ¶
      • depends_on proposition 45.22 The view from outside: exponential freezing ¶
        • depends_on phenomenon 45.24 Compact objects exist above every cold-support limit ¶ ↺
      • depends_on theorem 45.23 Oppenheimer–Snyder collapse ¶ ↺
  • depends_on proposition 45.37 Reissner–Nordström solution ¶
    • depends_on theorem 45.39 Israel; imported ¶
      • depends_on phenomenon 45.42 Stationary black holes are two-parameter objects ¶
  • depends_on theorem 45.4 Jebsen–Birkhoff ¶ ↺
  • depends_on theorem 45.39 Israel; imported ¶ ↺
  • … 1 more