Perturbative QCD: Difference between revisions

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A '''homothetic vector field''' (sometimes '''homothetic collineation''' or '''homothety''') is a [[projective vector field]] which satisfies the condition:
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:<math>\mathcal{L}_X g_{ab}=2c g_{ab}</math>
 
where c is a real constant. Homothetic vector fields find application in the study of [[gravitational singularity|singularities]] in general relativity, also it can be used to generate new solutions for Einstein equations by similarity reduction.<ref>{{cite book|title=Exact Solutions of Einstein’s Field Equations|publisher=Cambridge University Press|isbn=978-0-521-46136-8|pages=163}}</ref>  
 
==See also==
 
* [[Affine vector field]]
* [[Curvature collineation]]
* [[Killing vector field]]
* [[Matter collineation]]
* [[Spacetime symmetries]]
 
==References==
{{Reflist}}
 
{{relativity-stub}}
[[Category:Mathematical methods in general relativity]]

Latest revision as of 21:43, 4 April 2014

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