- See also
- References
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
- Conformal Killing vector field
- Curvature collineation
- Killing vector field
- Matter collineation
- Spacetime symmetries
References
1. ^{{cite book|title=Exact Solutions of Einstein’s Field Equations|publisher=Cambridge University Press|isbn=978-0-521-46136-8|pages=163}}
{{relativity-stub}} 1 : Mathematical methods in general relativity
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