phenomenon 45.35 Astrophysical black holes rotate, and stay inside the Kerr bound

open in the book · parts/05-general-relativity-cosmology/04-schwarzschild-black-holes.tex:1372 · p. 1300

phenomenon-tested: no experiment declares a \tests edge to it and it is not listed in untested.txt

Rests on

depends_on proposition 45.31 Horizons and the extremal bound ¶
- depends_on theorem 45.30 Kerr solution; imported ¶
  - 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 13.117 Metric tensor of signature $(p,q)$ ¶
      - depends_on definition 13.149 Metric compatibility ¶
      - depends_on definition 13.147 Torsion ¶
      - 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-15 ¶
proves proof ch:04-schwarzschild-black-holes@proof-17 ¶

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type	direction	node	provenance	where
`cites`	→	Observation of Gravitational Waves from a Binary Black Hole Merger	derived	parts/05-general-relativity-cosmology/04-schwarzschild-black-holes.tex:1386
`cites`	→	Gravitationally redshifted emission implying an accretion disk and massive black hole in the active galaxy MCG--6--30--15	derived	parts/05-general-relativity-cosmology/04-schwarzschild-black-holes.tex:1385
`depends_on`	→	Horizons and the extremal bound	declared	parts/05-general-relativity-cosmology/04-schwarzschild-black-holes.tex:1390
`proves`	←	ch:04-schwarzschild-black-holes@proof-17	declared	parts/05-general-relativity-cosmology/04-schwarzschild-black-holes.tex:1393