Congruence (general relativity) (original) (raw)

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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)
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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)
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