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Homothetic vector field : ウィキペディア英語版
Homothetic vector field
A homothetic vector field (sometimes homothetic collineation or homothety) is a projective vector field which satisfies the condition:
:\mathcal_X g_=2c g_
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.
==See also==

* Affine vector field
* Curvature collineation
* Killing vector field
* Matter collineation
* Spacetime symmetries

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Homothetic vector field」の詳細全文を読む



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