Schwarzschild criterion
E70353
The Schwarzschild criterion is a condition in astrophysics that determines when a star’s interior becomes convectively unstable, leading to energy transport by bulk motion of stellar material.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Schwarzschild criterion canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T561903 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Schwarzschild criterion Context triple: [Karl Schwarzschild, knownFor, Schwarzschild criterion]
-
A.
Chandrasekhar limit
The Chandrasekhar limit is the maximum mass a white dwarf star can have before collapsing under its own gravity, playing a crucial role in determining its ultimate fate as a neutron star or black hole.
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B.
Eddington limit
The Eddington limit is the maximum luminosity a star or accreting object can have before radiation pressure overcomes gravity and drives away its outer layers.
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C.
Schwarzschild radius
The Schwarzschild radius is the critical distance from the center of a non-rotating, spherically symmetric mass at which its escape velocity equals the speed of light, defining the boundary of a black hole.
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D.
Oppenheimer–Volkoff limit
The Oppenheimer–Volkoff limit is the theoretical maximum mass a neutron star can have before collapsing into a black hole under its own gravity.
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E.
Chandrasekhar–Friedman–Schutz instability
The Chandrasekhar–Friedman–Schutz instability is a gravitational-radiation-driven instability in rotating stars that can cause certain oscillation modes to grow by emitting gravitational waves.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Schwarzschild criterion Target entity description: The Schwarzschild criterion is a condition in astrophysics that determines when a star’s interior becomes convectively unstable, leading to energy transport by bulk motion of stellar material.
-
A.
Chandrasekhar limit
The Chandrasekhar limit is the maximum mass a white dwarf star can have before collapsing under its own gravity, playing a crucial role in determining its ultimate fate as a neutron star or black hole.
-
B.
Eddington limit
The Eddington limit is the maximum luminosity a star or accreting object can have before radiation pressure overcomes gravity and drives away its outer layers.
-
C.
Schwarzschild radius
The Schwarzschild radius is the critical distance from the center of a non-rotating, spherically symmetric mass at which its escape velocity equals the speed of light, defining the boundary of a black hole.
-
D.
Oppenheimer–Volkoff limit
The Oppenheimer–Volkoff limit is the theoretical maximum mass a neutron star can have before collapsing into a black hole under its own gravity.
-
E.
Chandrasekhar–Friedman–Schutz instability
The Chandrasekhar–Friedman–Schutz instability is a gravitational-radiation-driven instability in rotating stars that can cause certain oscillation modes to grow by emitting gravitational waves.
- F. None of above. chosen
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
astrophysical stability criterion
ⓘ
physical criterion ⓘ |
| appliesTo |
convective stability analysis
ⓘ
radiative zones of stars ⓘ stellar interiors ⓘ |
| appliesUnderCondition |
local thermodynamic equilibrium
ⓘ
quasi-static stellar evolution ⓘ spherically symmetric stellar models ⓘ |
| assumes |
adiabatic motion of displaced fluid elements
ⓘ
no composition gradient in the stellar layer ⓘ small perturbations to equilibrium ⓘ |
| category |
stellar astrophysics
ⓘ
theoretical astrophysics ⓘ |
| compares | actual temperature gradient to adiabatic temperature gradient ⓘ |
| concerns |
stability of stratified fluids in a gravitational field
ⓘ
vertical displacement of fluid elements ⓘ |
| determines |
onset of convective instability in stars
ⓘ
transition from radiative to convective energy transport ⓘ |
| field | astrophysics ⓘ |
| influences |
chemical mixing in stellar interiors
ⓘ
lifetimes of different stellar evolutionary phases ⓘ luminosity profile inside stars ⓘ temperature profile inside stars ⓘ |
| isSpecialCaseOf | Ledoux criterion ⓘ |
| mathematicalForm |
∇_rad < ∇_ad implies convective stability
ⓘ
∇_rad > ∇_ad implies convective instability ⓘ |
| namedAfter | Karl Schwarzschild ⓘ |
| relatedTo |
Ledoux criterion
ⓘ
Rayleigh–Bénard convection ⓘ convective energy transport ⓘ giant star envelopes ⓘ hydrodynamic stability ⓘ main-sequence stellar structure ⓘ mixing-length theory ⓘ radiative energy transport ⓘ stellar convection zones ⓘ |
| statesThat |
a layer is convectively stable if the radiative temperature gradient is less than the adiabatic temperature gradient
ⓘ
a layer is convectively unstable if the radiative temperature gradient exceeds the adiabatic temperature gradient ⓘ |
| usedFor |
locating convective zones in stars
ⓘ
predicting convective cores ⓘ predicting convective envelopes ⓘ |
| usedIn |
numerical stellar evolution codes
ⓘ
stellar evolution calculations ⓘ stellar structure models ⓘ |
| usesConcept |
buoyancy of fluid elements
ⓘ
equation of state of stellar material ⓘ hydrostatic equilibrium ⓘ |
| usesQuantity |
adiabatic temperature gradient
ⓘ
radiative temperature gradient ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Schwarzschild criterion Description of subject: The Schwarzschild criterion is a condition in astrophysics that determines when a star’s interior becomes convectively unstable, leading to energy transport by bulk motion of stellar material.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.