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The 4-divergence of the transverse traceless 4D (2,0)-tensor representing gravitational radiation in the weak-field limit (i.e. freely propagating far from the source). The transverse condition ∂ ⋅ h T T μ ν = ∂ μ h T T μ ν = 0 {\displaystyle {\boldsymbol {\partial }}\cdot h_{TT}^{\mu \nu }=\partial _{\mu }h_{TT}^{\mu \nu }=0} is the ...
The source function is a characteristic of a stellar atmosphere, and in the case of no scattering of photons, describes the ratio of the emission coefficient to the absorption coefficient. It is a measure of how photons in a light beam are removed and replaced by new photons by the material it passes through.
From left to right: a field with a source, a field with a sink, a field without either. In the physical sciences, engineering and mathematics, sources and sinks is an analogy used to describe properties of vector fields. It generalizes the idea of fluid sources and sinks (like the faucet and drain of a bathtub) across different scientific ...
These homogeneous solutions in general represent waves propagating from sources outside the boundary. When the integrals above are evaluated for typical cases, e.g. of an oscillating current (or charge), they are found to give both a magnetic field component varying according to r −2 (the induction field ) and a component decreasing as r −1 ...
This can also be expressed in terms of the four-velocity by the equation: [2] [3] = = where: is the charge density measured by an inertial observer O who sees the electric current moving at speed u (the magnitude of the 3-velocity);
The source equations (Gauss' law for electricity and the Maxwell-Ampère law) are =. while the other two (Gauss' law for magnetism and Faraday's law) are obtained from the fact that F is the 4-curl of A, or, in other words, from the fact that the Bianchi identity holds for the electromagnetic field tensor.
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Stress–energy tensor, the density and flux of energy and momentum in space-time; the source of the gravitational field in general relativity; Food energy, energy in food that is available; Primary energy, energy contained in raw fuels and any other forms of energy received by a system as input to the system.