Graph ›
Part V ›
Schwarzschild Geometry and Black Holes
Schwarzschild Geometry and Black Holes
foundations results +15 more equations phenomena depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) definition 45.25: Trapped surface 45.25 Trapped surface theorem 45.1: Schwarzschild solution 45.1 Schwarzschild so… theorem 45.4: Jebsen–Birkhoff 45.4 Jebsen–Birkhoff corollary 45.5: No monopole gravitational radiation 45.5 No monopole grav… proposition 45.6: Radial equation and effective potential 45.6 Radial equation… proposition 45.8: Orbit equation 45.8 Orbit equation proposition 45.10: Circular orbits and their energy 45.10 Circular orbits… proposition 45.14: Isotropic coordinates 45.14 Isotropic coordi… proposition 45.16: Curvature at the horizon and at the centre 45.16 Curvature at the… proposition 45.18: The one-way membrane 45.18 The one-way memb… proposition 45.19: Kruskal–Szekeres coordinates 45.19 Kruskal–Szekeres… proposition 45.21: Radial plunge: the cycloid 45.21 Radial plunge: t… proposition 45.22: The view from outside: exponential freezing 45.22 The view from ou… theorem 45.23: Oppenheimer–Snyder collapse 45.23 Oppenheimer–Snyd… equation 45.12: eq:schw-orbit-u eq. (45.12) equation 45.20: eq:schw-null-radial eq. (45.20) phenomenon 45.9: Relativistic advance of the periastron 45.9 Relativistic adv… phenomenon 45.12: Efficiency of accretion onto compact objects 45.12 Efficiency of ac… phenomenon 45.24: Compact objects exist above every cold-support
limit 45.24 Compact objects… phenomenon 45.35: Astrophysical black holes rotate, and stay inside
the Kerr bound 45.35 Astrophysical bl… phenomenon 45.42: Stationary black holes are two-parameter objects 45.42 Stationary black… phenomenon 45.52: The shadow 45.52 The shadow
The chain of Schwarzschild Geometry and Black Holes: 22 of 37 objects, read left to right from what the chapter assumes to what tests it. Solid lines are declared logical edges, dashed ones were inferred from the structure of the source. Click any node to open its own chain.
declared and complete
partly declared
a check failed
not graded
declared in the source
inferred from structure