Homothetic vector field
A homothetic vector field (sometimes homothetic collineation or homothety) is a projective vector field which satisfies the condition:
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
- Curvature collineation
- Killing vector field
- Matter collineation
- Spacetime symmetries
References
This article is issued from Wikipedia - version of the 12/14/2014. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.