Physics:Homothetic vector field
From HandWiki
In physics, a homothetic vector field (sometimes homothetic collineation or homothety) is a projective vector field which satisfies the condition:
- [math]\displaystyle{ \mathcal{L}_X g_{ab}=2c g_{ab} }[/math]
where c is a real constant. Homothetic vector fields find application in the study of singularities in general relativity. They can also be used to generate new solutions for Einstein equations by similarity reduction.[1]
See also
- Affine vector field
- Conformal Killing vector field
- Curvature collineation
- Killing vector field
- Matter collineation
- Spacetime symmetries
References
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