Kelvin–Voigt material: Difference between revisions
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An '''affine vector field''' (sometimes '''affine collineation''' or '''affine''') is a [[projective vector field]] preserving [[geodesic]]s and preserving the [[affine parameter]]. Mathematically, this is expressed by the following condition: | |||
:<math>(\mathcal{L}_X g_{ab})_{;c}=0 | |||
</math> | |||
==See also== | |||
* [[Conformal vector field]] | |||
* [[Curvature collineation]] | |||
* [[Homothetic vector field]] | |||
* [[Killing vector field]] | |||
* [[Matter collineation]] | |||
* [[Spacetime symmetries]] | |||
{{relativity-stub}} | |||
[[Category:Mathematical methods in general relativity]] | |||
Revision as of 12:18, 17 June 2013
An affine vector field (sometimes affine collineation or affine) is a projective vector field preserving geodesics and preserving the affine parameter. Mathematically, this is expressed by the following condition:
See also
- Conformal vector field
- Curvature collineation
- Homothetic vector field
- Killing vector field
- Matter collineation
- Spacetime symmetries
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