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Homothetic vector field

From Wikipedia, the free encyclopedia

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

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References

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  1. ^ Exact Solutions of Einstein's Field Equations. Cambridge University Press. 2003. pp. 163. ISBN 978-0-521-46136-8.