proposition 45.51 Evaporation: scale and timescale
open in the book ·
parts/05-general-relativity-cosmology/04-schwarzschild-black-holes.tex:1913
· p. 1306
Rests on
-
depends_on
theorem 45.49
Hawking temperature; imported
¶
-
depends_on
proposition 45.46
The first law
¶
-
depends_on
proposition 45.43
Static acceleration and surface gravity
¶
-
depends_on
theorem 45.30
Kerr solution; imported
¶
- depends_on theorem 45.1 Schwarzschild solution ¶
- depends_on theorem 45.1 Schwarzschild solution ¶ ↺
- proves proof ch:04-schwarzschild-black-holes@proof-20 ¶
-
depends_on
theorem 45.30
Kerr solution; imported
¶
-
depends_on
proposition 45.45
Irreducible mass and the Christodoulou–Smarr
mass formula
¶
-
depends_on
lemma 45.44
Horizon area
¶
- depends_on proposition 45.31 Horizons and the extremal bound ¶
- proves proof ch:04-schwarzschild-black-holes@proof-21 ¶
- depends_on proposition 45.31 Horizons and the extremal bound ¶ ↺
- proves proof ch:04-schwarzschild-black-holes@proof-22 ¶
-
depends_on
lemma 45.44
Horizon area
¶
- proves proof ch:04-schwarzschild-black-holes@proof-23 ¶
-
depends_on
proposition 45.43
Static acceleration and surface gravity
¶
- depends_on proposition 45.43 Static acceleration and surface gravity ¶ ↺
-
depends_on
proposition 45.46
The first law
¶
- proves proof ch:04-schwarzschild-black-holes@proof-24 ¶
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
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
cites |
→ | Particle creation by black holes | derived | parts/05-general-relativity-cosmology/04-schwarzschild-black-holes.tex:1927 |
depends_on |
→ | Hawking temperature; imported | declared | parts/05-general-relativity-cosmology/04-schwarzschild-black-holes.tex:1928 |
proves |
← | ch:04-schwarzschild-black-holes@proof-24 | declared | parts/05-general-relativity-cosmology/04-schwarzschild-black-holes.tex:1931 |