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

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 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 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

Referenced by (3)

Full triples — surface form annotated when it differs from this entity's canonical label.

Oppenheimer–Volkoff limit → relatedTo → Tolman–Oppenheimer–Volkoff equation ⓘ
Oppenheimer–Volkoff limit → basedOn → Tolman–Oppenheimer–Volkoff equation ⓘ
Tolman–Oppenheimer–Volkoff equation → hasAlternativeName → TOV equation ⓘ
linked to: Tolman–Oppenheimer–Volkoff equation