proposition 52.18 Schönberg–Chandrasekhar limit
open in the book ·
parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:1253
· p. 1401
Rests on
-
depends_on
theorem 52.2
Virial theorem for a self-gravitating sphere
¶
- depends_on equation 52.2 eq:stellar-hydrostatic ¶
-
depends_on
proposition 52.1
Hydrostatic equilibrium of a self-gravitating
sphere
¶
-
depends_on
proposition 31.16
Hydrostatic balance
¶
-
depends_on
definition 31.1
Fluid
¶
- depends_on theorem 30.18 Cauchy: the stress tensor exists ¶
-
depends_on
theorem 30.21
Cauchy's equation of motion
¶
- depends_on theorem 7.133 Gauss ¶
- depends_on theorem 30.18 Cauchy: the stress tensor exists ¶ ↺
- proves proof ch:13-continuum-elasticity@proof-9 ¶
- proves proof ch:14-fluid-dynamics@proof-7 ¶
-
depends_on
definition 31.1
Fluid
¶
- proves proof ch:11-stellar-structure-nucleosynthesis@proof-1 ¶
-
depends_on
proposition 31.16
Hydrostatic balance
¶
- proves proof ch:11-stellar-structure-nucleosynthesis@proof-2 ¶
- proves proof ch:11-stellar-structure-nucleosynthesis@proof-14 ¶
Supports
Nothing declares a dependency on this node yet.
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
cites |
→ | Stellar Structure and Evolution | derived | parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:1272 |
cites |
→ | On the Evolution of the Main-Sequence Stars | derived | parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:1272 |
depends_on |
→ | Virial theorem for a self-gravitating sphere | declared | parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:1273 |
proves |
← | ch:11-stellar-structure-nucleosynthesis@proof-14 | declared | parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:1276 |