first law of black hole mechanics
E844996
The first law of black hole mechanics relates changes in a black hole’s mass, area, angular momentum, and charge in a way analogous to the first law of thermodynamics, connecting energy conservation with horizon properties.
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
law of black hole mechanics
ⓘ
physical law ⓘ thermodynamic analogy ⓘ |
| analogousTo | first law of thermodynamics ⓘ |
| appliesTo |
Kerr black holes
NERFINISHED
ⓘ
Kerr–Newman black holes NERFINISHED ⓘ stationary black holes ⓘ |
| assumes |
existence of a Killing horizon
ⓘ
stationarity of the black hole spacetime ⓘ |
| connects |
conserved charges at infinity
ⓘ
geometric properties of the horizon ⓘ |
| consequenceOf | Einstein field equations under suitable conditions ⓘ |
| equationForm | dM = (κ / 8πG) dA + Ω_H dJ + Φ_H dQ ⓘ |
| expresses | conservation of energy for black holes ⓘ |
| field |
black hole thermodynamics
NERFINISHED
ⓘ
general relativity NERFINISHED ⓘ gravitational physics ⓘ theoretical physics ⓘ |
| historicalContext | formulated in early 1970s ⓘ |
| implies | horizon area behaves like entropy ⓘ |
| inspiredBy | classical thermodynamics ⓘ |
| mathematicalNature | differential relation ⓘ |
| parameter |
electrostatic potential at the horizon Φ_H
ⓘ
horizon angular velocity Ω_H ⓘ surface gravity κ ⓘ |
| relatedTo |
Bekenstein–Hawking entropy
NERFINISHED
ⓘ
Hawking radiation NERFINISHED ⓘ second law of black hole mechanics NERFINISHED ⓘ third law of black hole mechanics ⓘ zeroth law of black hole mechanics NERFINISHED ⓘ |
| relatesConcept |
black hole angular momentum
ⓘ
black hole electric charge ⓘ black hole horizon area ⓘ black hole mass ⓘ energy conservation ⓘ first law of thermodynamics ⓘ horizon properties ⓘ surface gravity ⓘ |
| relatesQuantity |
change in angular momentum dJ
ⓘ
change in charge dQ ⓘ change in horizon area dA ⓘ change in mass dM ⓘ |
| supports |
interpretation of black hole area as entropy
ⓘ
view of black holes as thermodynamic systems ⓘ |
| usedIn |
AdS/CFT correspondence analyses
ⓘ
black hole thermodynamic derivations ⓘ studies of quantum gravity ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject surface form:
The four laws of black hole mechanics