Physics:Affine vector field
From HandWiki
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:
- [math]\displaystyle{ (\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
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