dbo:abstract |
In general relativity, a congruence (more properly, a congruence of curves) is the set of integral curves of a (nowhere vanishing) vector field in a four-dimensional Lorentzian manifold which is interpreted physically as a model of spacetime. Often this manifold will be taken to be an exact or approximate solution to the Einstein field equation. (en) En relativité générale, le terme de congruence désigne un ensemble de courbes ne s'intersectant pas, susceptibles de représenter un flot géodésique de particules se déplaçant sur une variété différentielle. (fr) Na relatividade geral, uma congruência (mais propriamente, uma congruência de curvas) é o conjunto de curvas integrais de um campo vetorial ("desaparecendo para lugar algum") em uma variedade Lorentziana de quatro dimensões que é interpretado fisicamente como um modelo de espaço-tempo. Muitas vezes, essa variedade será tomada como sendo uma solução exata ou aproximada para equações de campo de Einstein. (pt) |
dbo:wikiPageExternalLink |
https://archive.org/details/generalrelativit0000wald |
dbo:wikiPageID |
2698313 (xsd:integer) |
dbo:wikiPageLength |
15643 (xsd:nonNegativeInteger) |
dbo:wikiPageRevisionID |
987592570 (xsd:integer) |
dbo:wikiPageWikiLink |
dbr:Schwarzschild_metric dbr:Bel_decomposition dbr:Vector_field dbr:Venus dbr:Integral_curve dbr:World_line dbr:Geodesics_in_general_relativity dbr:Orthogonal dbr:Radiation-dominated_era dbr:Einstein_field_equation dbr:General_relativity dbr:Green's_function dbr:Congruence_(manifolds) dbr:Traceless dbr:Lorentzian_manifold dbr:Tangent_space dbr:Wave_equation dbr:Earth dbr:Exact_solutions_in_general_relativity dbr:Foliation dbr:Riemann_curvature_tensor dbr:Projection_(linear_algebra) dbr:Covariant_derivative dbc:Mathematical_methods_in_general_relativity dbc:Lorentzian_manifolds dbr:John_Archibald_Wheeler dbr:Sun dbr:Electrogravitic_tensor dbr:Dirac_delta_function dbr:Spacetime dbr:Fermi–Walker_transport dbr:FRW_model dbr:Metric_tensor dbr:Fiber_optics dbr:Vacuum_solution_(general_relativity) dbr:Tangent_vector dbr:Riemann_tensor dbr:Raychaudhuri's_equation dbr:Vorticity_tensor dbr:Expansion_scalar dbr:Expansion_tensor dbr:Shear_tensor |
dbp:wikiPageUsesTemplate |
dbt:Cite_book dbt:Cite_journal dbt:Cn |
dcterms:subject |
dbc:Mathematical_methods_in_general_relativity dbc:Lorentzian_manifolds |
gold:hypernym |
dbr:Set |
rdf:type |
yago:WikicatLorentzianManifolds yago:Artifact100021939 yago:Conduit103089014 yago:Manifold103717750 yago:Object100002684 yago:Passage103895293 yago:PhysicalEntity100001930 yago:Pipe103944672 yago:YagoGeoEntity yago:YagoPermanentlyLocatedEntity yago:Tube104493505 yago:Way104564698 yago:Whole100003553 |
rdfs:comment |
In general relativity, a congruence (more properly, a congruence of curves) is the set of integral curves of a (nowhere vanishing) vector field in a four-dimensional Lorentzian manifold which is interpreted physically as a model of spacetime. Often this manifold will be taken to be an exact or approximate solution to the Einstein field equation. (en) En relativité générale, le terme de congruence désigne un ensemble de courbes ne s'intersectant pas, susceptibles de représenter un flot géodésique de particules se déplaçant sur une variété différentielle. (fr) Na relatividade geral, uma congruência (mais propriamente, uma congruência de curvas) é o conjunto de curvas integrais de um campo vetorial ("desaparecendo para lugar algum") em uma variedade Lorentziana de quatro dimensões que é interpretado fisicamente como um modelo de espaço-tempo. Muitas vezes, essa variedade será tomada como sendo uma solução exata ou aproximada para equações de campo de Einstein. (pt) |
rdfs:label |
Congruence (general relativity) (en) Congruence (variété différentielle) (fr) Congruência (relatividade geral) (pt) |
owl:sameAs |
freebase:Congruence (general relativity) yago-res:Congruence (general relativity) wikidata:Congruence (general relativity) dbpedia-fr:Congruence (general relativity) dbpedia-pt:Congruence (general relativity) https://global.dbpedia.org/id/2mfVC |
prov:wasDerivedFrom |
wikipedia-en:Congruence_(general_relativity)?oldid=987592570&ns=0 |
foaf:isPrimaryTopicOf |
wikipedia-en:Congruence_(general_relativity) |
is dbo:wikiPageDisambiguates of |
dbr:Congruence |
is dbo:wikiPageRedirects of |
dbr:Null_congruence dbr:Vorticity_tensor dbr:Timelike_congruence |
is dbo:wikiPageWikiLink of |
dbr:Rindler_coordinates dbr:Index_of_physics_articles_(C) dbr:Non-expanding_horizon dbr:Energy_condition dbr:Congruence_(manifolds) dbr:Construction_of_a_complex_null_tetrad dbr:Optical_scalars dbr:Static_spacetime dbr:Mathematics_of_general_relativity dbr:Weyl's_postulate dbr:Raychaudhuri_equation dbr:Four-velocity dbr:Frame_fields_in_general_relativity dbr:Goldberg–Sachs_theorem dbr:Isotropic_coordinates dbr:Gödel_metric dbr:Synchronous_frame dbr:Born_coordinates dbr:Congruence dbr:Wormhole dbr:Penrose–Hawking_singularity_theorems dbr:Nordström's_theory_of_gravitation dbr:Schwarzschild_coordinates dbr:Null_congruence dbr:Vorticity_tensor dbr:Timelike_congruence |
is foaf:primaryTopic of |
wikipedia-en:Congruence_(general_relativity) |