Killing vectors

Killing vectors

asked 6 years ago

danielvolinski

629 ●10 ●28 ●41

Hi All,

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

Thanks,

Daniel Volinski

answered 6 years ago

tmonteil
27483 ●32 ●205 ●519 http://wiki.sagemath.o...

updated 6 years ago

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.

link

Comments

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 ( 6 years ago )

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 ( 6 years ago )

Yup !

tmonteil ( 6 years ago )

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