In physics, a homothetic vector field (sometimes homothetic collineation or homothety) is a projective vector field which satisfies the condition: L X g a b = 2 c g a b {\displaystyle {\mathcal {L}}_{X}g_{ab}=2cg_{ab}} where c is a real constant. Homothetic vector fields find application in the study of singularities in general relativity.
In physics, a homothetic vector field (sometimes homothetic collineation or homothety) is a projective vector field which satisfies the condition: L X g a b = 2 c g a b {\displaystyle {\mathcal {L}}_{X}g_{ab}=2cg_{ab}} where c is a real constant. Homothetic vector fields find application in the study of singularities in general relativity.
Source: Wikipedia "Homothetic vector field" · CC BY-SA 4.0
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