Harmonic coordinate condition
The harmonic coordinate condition is one of several coordinate conditions in general relativity, which make it possible to solve the Einstein field equations. A coordinate system is said to satisfy the harmonic coordinate condition if each of the coordinate functions xα (regarded as scalar fields) satisfies d'Alembert's equation. The parallel notion of a harmonic coordinate system in Riemannian geometry is a coordinate system whose coordinate functions satisfy Laplace's equation. Since d'Alembert's equation is the generalization of Laplace's equation to space-time, its solutions are also called "harmonic".
De Donder gaugeDe Donder gauge conditionEinstein–Infeld–Hoffmann equationsGeneral covarianceHarmonic coordinateHarmonic coordinatesHarmonic gaugeIndex of physics articles (H)Linearized gravityList of contributors to general relativityLorentz ether theoryRetarded potentialSolutions of the Einstein field equationsSymmetry (physics)Théophile de Donder
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Harmonic coordinate condition
The harmonic coordinate condition is one of several coordinate conditions in general relativity, which make it possible to solve the Einstein field equations. A coordinate system is said to satisfy the harmonic coordinate condition if each of the coordinate functions xα (regarded as scalar fields) satisfies d'Alembert's equation. The parallel notion of a harmonic coordinate system in Riemannian geometry is a coordinate system whose coordinate functions satisfy Laplace's equation. Since d'Alembert's equation is the generalization of Laplace's equation to space-time, its solutions are also called "harmonic".
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The harmonic coordinate condit ...... ns are also called "harmonic".
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The harmonic coordinate condit ...... ns are also called "harmonic".
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Harmonic coordinate condition
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