In physics, 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[edit]
- Affine vector field
- Conformal Killing vector field
- Curvature collineation
- Killing vector field
- Matter collineation
- Spacetime symmetries
References[edit]
- ^ Exact Solutions of Einstein's Field Equations. Cambridge University Press. 2003. pp. 163. ISBN 978-0-521-46136-8.