LTB metric
E458534
cosmological model
exact solution of Einstein's field equations
gravitational collapse model
inhomogeneous dust solution
spherically symmetric spacetime metric
The LTB metric is an exact solution of Einstein’s field equations describing a spherically symmetric, inhomogeneous dust-filled universe used in cosmology and gravitational collapse studies.
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
cosmological model
ⓘ
exact solution of Einstein's field equations ⓘ gravitational collapse model ⓘ inhomogeneous dust solution ⓘ spherically symmetric spacetime metric ⓘ |
| allows |
radial dependence of density
ⓘ
radial dependence of expansion rate ⓘ |
| assumes |
comoving coordinates for dust particles
ⓘ
dust matter with zero pressure ⓘ spherical symmetry ⓘ |
| basedOn | Einstein's field equations NERFINISHED ⓘ |
| belongsTo | general relativity ⓘ |
| describes |
pressureless matter (dust) distribution
ⓘ
radially inhomogeneous cosmological models ⓘ spherically symmetric inhomogeneous dust-filled universe ⓘ |
| fullName | Lemaître–Tolman–Bondi metric NERFINISHED ⓘ |
| generalizes | Friedmann–Lemaître–Robertson–Walker metric NERFINISHED ⓘ |
| hasApplication |
relativistic astrophysics
ⓘ
theoretical cosmology ⓘ |
| hasCoordinateSystem | comoving synchronous coordinates ⓘ |
| hasSymmetry | spherical symmetry ⓘ |
| includes |
bang time function
ⓘ
energy (curvature) function ⓘ radial mass function ⓘ |
| is | radially inhomogeneous generalization of FLRW models ⓘ |
| matterContent | pressureless dust ⓘ |
| metricSignature | Lorentzian ⓘ |
| namedAfter |
Georges Lemaître
NERFINISHED
ⓘ
Hermann Bondi NERFINISHED ⓘ Richard C. Tolman NERFINISHED ⓘ |
| reducesTo | FLRW metric for homogeneous density and curvature ⓘ |
| solves | Einstein equations with dust stress–energy tensor ⓘ |
| spacetimeDimension | 4 ⓘ |
| timeCoordinate | proper time of comoving dust observers ⓘ |
| usedFor |
gravitational lensing in inhomogeneous backgrounds
ⓘ
modeling Oppenheimer–Snyder-like collapse generalizations ⓘ modeling cosmic voids ⓘ modeling inhomogeneous Big Bang times ⓘ studying apparent cosmic acceleration without dark energy ⓘ studying light propagation in inhomogeneous universes ⓘ testing Copernican principle ⓘ |
| usedIn |
cosmology
ⓘ
gravitational collapse studies ⓘ inhomogeneous cosmological models ⓘ relativistic stellar collapse modeling ⓘ studies of structure formation ⓘ void models of cosmic acceleration ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.