zeroth law of black hole mechanics
E844096
The zeroth law of black hole mechanics states that the surface gravity of a stationary black hole is constant over its event horizon, analogous to the uniform temperature in thermal equilibrium in thermodynamics.
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
analogue of zeroth law of thermodynamics
ⓘ
law of black hole mechanics ⓘ physical law ⓘ |
| analogousTo |
uniform temperature in thermal equilibrium
ⓘ
zeroth law of thermodynamics ⓘ |
| appliesTo |
Kerr black hole
NERFINISHED
ⓘ
Reissner–Nordström black hole NERFINISHED ⓘ Schwarzschild black hole NERFINISHED ⓘ event horizon ⓘ stationary black hole ⓘ |
| assumes |
Einstein field equations
NERFINISHED
ⓘ
dominant energy condition ⓘ existence of a Killing horizon ⓘ stationarity of the black hole spacetime ⓘ |
| category | classical result in general relativity ⓘ |
| concerns |
event horizon uniformity
ⓘ
surface gravity ⓘ |
| connectedTo |
event horizon rigidity theorems
ⓘ
no-hair theorems NERFINISHED ⓘ |
| describedIn | Bardeen–Carter–Hawking 1973 paper on four laws of black hole mechanics NERFINISHED ⓘ |
| describes | constancy of surface gravity κ on the horizon ⓘ |
| field |
black hole thermodynamics
NERFINISHED
ⓘ
general relativity ⓘ gravitational physics ⓘ |
| formulatedBy |
Brandon Carter
NERFINISHED
ⓘ
Jacob Bekenstein NERFINISHED ⓘ James M. Bardeen NERFINISHED ⓘ Stephen Hawking NERFINISHED ⓘ |
| historicalContext | early 1970s ⓘ |
| holdsFor |
asymptotically flat stationary black holes
ⓘ
axisymmetric stationary black holes ⓘ |
| implies | black hole horizon is in thermal equilibrium ⓘ |
| inspired | development of black hole thermodynamics ⓘ |
| mathematicalFormulation | κ is constant over a connected component of the event horizon of a stationary black hole ⓘ |
| partOf | four laws of black hole mechanics ⓘ |
| precedes |
first law of black hole mechanics
ⓘ
second law of black hole mechanics NERFINISHED ⓘ third law of black hole mechanics NERFINISHED ⓘ |
| relatedTo |
Killing horizon surface gravity definition
ⓘ
Killing vector field normal to the horizon ⓘ |
| relatesConceptuallyTo |
Hawking temperature
GENERATED
ⓘ
black hole temperature GENERATED ⓘ surface gravity–temperature proportionality GENERATED ⓘ |
| requires | non-extremal black hole ⓘ |
| states | surface gravity is constant over the event horizon of a stationary black hole ⓘ |
| usedIn |
arguments for associating temperature with black holes
ⓘ
derivation of black hole thermodynamic analogies ⓘ |
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