Tolman–Oppenheimer–Volkoff equation
E290118
The Tolman–Oppenheimer–Volkoff equation is the general relativistic equation of hydrostatic equilibrium that describes the internal structure and pressure balance of spherically symmetric, non-rotating stars such as neutron stars.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Tolman–Oppenheimer–Volkoff equation canonical | 2 |
| TOV equation | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T2707210 — 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.
Target entity: Tolman–Oppenheimer–Volkoff equation Context triple: [Oppenheimer–Volkoff limit, relatedTo, Tolman–Oppenheimer–Volkoff equation]
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A.
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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B.
Schwarzschild–Milne equations
The Schwarzschild–Milne equations are fundamental integro-differential equations in radiative transfer theory that describe the propagation and scattering of radiation through a plane-parallel, absorbing and emitting medium.
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C.
Oppenheimer–Snyder model
The Oppenheimer–Snyder model is a pioneering theoretical description of gravitational collapse in general relativity, providing one of the first rigorous treatments of how a massive star can form a black hole.
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D.
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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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.
Target entity: Tolman–Oppenheimer–Volkoff equation Target entity description: The Tolman–Oppenheimer–Volkoff equation is the general relativistic equation of hydrostatic equilibrium that describes the internal structure and pressure balance of spherically symmetric, non-rotating stars such as neutron stars.
-
A.
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.
-
B.
Schwarzschild–Milne equations
The Schwarzschild–Milne equations are fundamental integro-differential equations in radiative transfer theory that describe the propagation and scattering of radiation through a plane-parallel, absorbing and emitting medium.
-
C.
Oppenheimer–Snyder model
The Oppenheimer–Snyder model is a pioneering theoretical description of gravitational collapse in general relativity, providing one of the first rigorous treatments of how a massive star can form a black hole.
-
D.
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.
-
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 (46)
| Predicate | Object |
|---|---|
| instanceOf |
differential equation
ⓘ
equation of state in general relativity ⓘ relativistic hydrostatic equilibrium equation ⓘ |
| appearsIn | Oppenheimer–Volkoff 1939 paper on neutron cores ⓘ |
| appliesTo |
neutron stars
ⓘ
non-rotating stars ⓘ relativistic stellar objects ⓘ spherically symmetric stars ⓘ |
| assumes |
isotropic pressure
ⓘ
perfect fluid matter distribution ⓘ spherical symmetry ⓘ static spacetime ⓘ |
| basedOn | Einstein field equations ⓘ |
| category |
relativistic astrophysics
ⓘ
stellar structure theory ⓘ |
| dependsOn |
enclosed gravitational mass
ⓘ
energy density ⓘ pressure ⓘ radial coordinate ⓘ |
| describes |
hydrostatic equilibrium in general relativity
ⓘ
internal structure of spherically symmetric stars ⓘ pressure balance in compact stars ⓘ |
| field |
astrophysics
ⓘ
general relativity ⓘ theoretical physics ⓘ |
| generalizationOf | Newtonian hydrostatic equilibrium equation ⓘ |
| hasAlternativeName |
Tolman–Oppenheimer–Volkoff equation
ⓘ
surface form:
TOV equation
|
| mathematicalForm | first-order ordinary differential equation in radius ⓘ |
| namedAfter |
George Volkoff
ⓘ
J. Robert Oppenheimer ⓘ Richard C. Tolman ⓘ |
| relatedTo |
Buchdahl bound
ⓘ
Oppenheimer–Volkoff limit ⓘ Schwarzschild black hole ⓘ
surface form:
Schwarzschild metric
|
| relates |
pressure to spacetime curvature inside a star
ⓘ
radial pressure gradient to enclosed mass and energy density ⓘ |
| requires | equation of state of stellar matter ⓘ |
| usedFor |
computing mass–radius relations of compact stars
ⓘ
determining maximum mass of neutron stars ⓘ modeling neutron star structure ⓘ studying relativistic stellar stability ⓘ |
| usedIn |
neutron star modeling
ⓘ
quark star modeling ⓘ studies of compact object maximum mass limits ⓘ white dwarf modeling with relativistic corrections ⓘ |
| yearProposed | 1939 ⓘ |
How these facts were elicited
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Subject: Tolman–Oppenheimer–Volkoff equation Description of subject: The Tolman–Oppenheimer–Volkoff equation is the general relativistic equation of hydrostatic equilibrium that describes the internal structure and pressure balance of spherically symmetric, non-rotating stars such as neutron stars.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.