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Killing vectors

asked 2018-11-08 12:49:32 +0200

danielvolinski gravatar image

Hi All,

Given a space-time metric, is there a way to calculate its Killing vectors?


Daniel Volinski

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answered 2018-11-08 13:22:33 +0200

tmonteil gravatar image

updated 2018-11-08 13:28:54 +0200

Sage Manifolds should do that, see for example :

Though those examples seem to check that some vector fields are Killing vector, there should be way to ask Sage to solve the differential equation.

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Thank you for those excellent examples but, as you mentioned above, I precisely need "the way to ask Sage to solve the differential equation". May be somebody already solve this problem...



danielvolinski gravatar imagedanielvolinski ( 2018-11-08 16:58:45 +0200 )edit

Not to my knowledge. It would be a nice addition to Sage to express the Killing equation as a system of linear 1st order PDEs and attempt to solve those.

eric_g gravatar imageeric_g ( 2018-11-08 17:40:41 +0200 )edit

Yup !

tmonteil gravatar imagetmonteil ( 2018-11-11 17:04:03 +0200 )edit

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Asked: 2018-11-08 12:49:32 +0200

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Last updated: Nov 08 '18