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vorticity tensor

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  • Vorticity — is a mathematical concept used in fluid dynamics. It can be related to the amount of circulation or rotation (or more strictly, the local angular rate of rotation) in a fluid.Clancy, L.J., Aerodynamics , Section 7.11] The average vorticity zeta… …   Wikipedia

  • Vorticity equation — The vorticity equation is an important prognostic equation in the atmospheric sciences. Vorticity is a vector, therefore, there are three components. The equation of vorticity (three components in the canonical form) describes the total… …   Wikipedia

  • Spin tensor — In mathematics and mathematical physics, the Euclidean group :SE(d) of direct isometries is generated by translations and rotations. Its Lie algebra is written:mathfrak{se}(d). Noether currentsThe Noether currents for the translations make up the …   Wikipedia

  • Torsion tensor — In differential geometry, the notion of torsion is a manner of characterizing a twist or screw of a moving frame around a curve. The torsion of a curve, as it appears in the Frenet Serret formulas, for instance, quantifies the twist of a curve… …   Wikipedia

  • Congruence (general relativity) — 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.… …   Wikipedia

  • Raychaudhuri equation — In general relativity, Raychaudhuri s equation is a fundamental result describing the motion of nearby bits of matter.The equation is important as a fundamental lemma for the Penrose Hawking singularity theorems and for the study of exact… …   Wikipedia

  • Rindler coordinates — In relativistic physics, the Rindler coordinate chart is an important and useful coordinate chart representing part of flat spacetime, also called the Minkowski vacuum. The Rindler chart was introduced by Wolfgang Rindler. The Rindler coordinate… …   Wikipedia

  • Mathematics of general relativity — For a generally accessible and less technical introduction to the topic, see Introduction to mathematics of general relativity. General relativity Introduction Mathematical formulation Resources …   Wikipedia

  • Monochromatic electromagnetic plane wave — In general relativity, the monochromatic electromagnetic plane wave spacetime is the analog of the monochromatic plane waves known from Maxwell s theory. The precise definition of the solution is a bit complicated, but very instructive. Any exact …   Wikipedia

  • Schwarzschild coordinates — In the theory of Lorentzian manifolds, spherically symmetric spacetimes admit a family of nested round spheres . In such a spacetime, a particularly important kind of coordinate chart is the Schwarzschild chart, a kind of polar spherical… …   Wikipedia

  • Raychaudhuri-Gleichung — Die Raychaudhuri Gleichung (oder Landau Raychaudhuri Gleichung) ist ein grundlegendes Ergebnis der allgemeinen Relativitätstheorie und beschreibt die Bewegung benachbarter Teilchen. Die Gleichung ist ein grundlegendes Lemma für das Singularitäten …   Deutsch Wikipedia

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