Tolman–Oppenheimer–Volkoff equation
E290118
differential equation
equation of state in general relativity
relativistic hydrostatic equilibrium equation
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 |
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 ⓘ |
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
TOV equation