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Killing vectors

asked 2018-11-08 05:49:32 -0600

danielvolinski gravatar image

Hi All,

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

Thanks,

Daniel Volinski

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answered 2018-11-08 06:22:33 -0600

tmonteil gravatar image

updated 2018-11-08 06:28:54 -0600

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...

Thanks,

Daniel

danielvolinski gravatar imagedanielvolinski ( 2018-11-08 09:58:45 -0600 )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 10:40:41 -0600 )edit

Yup !

tmonteil gravatar imagetmonteil ( 2018-11-11 10:04:03 -0600 )edit

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Asked: 2018-11-08 05:49:32 -0600

Seen: 54 times

Last updated: Nov 08