Transforming Tensors with GRtensorII: Maple Users Help Needed

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  • Thread starter Thread starter anigma
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SUMMARY

The forum discussion centers on transforming tensors using the GRtensorII package in Maple. The user, anigma, outlines a method for transforming a general tensor, T(mu,nu), by first defining a new metric that mirrors the tensor using the grnewmetric function. Subsequently, the new metric is transformed with the grtransform function, and the tensor is calculated with the equation Tnew{a b}:=gnew{a b}. This approach provides a clear solution for users facing similar challenges in tensor calculus.

PREREQUISITES
  • Familiarity with GRtensorII package in Maple
  • Understanding of tensor calculus concepts
  • Knowledge of metric tensors and their transformations
  • Basic proficiency in Maple programming
NEXT STEPS
  • Explore the GRtensorII documentation for detailed function usage
  • Learn about advanced tensor transformation techniques in Maple
  • Investigate the implications of different metric definitions on tensor calculations
  • Study examples of tensor calculus applications in physics
USEFUL FOR

This discussion is beneficial for mathematicians, physicists, and engineers working with tensor calculus, particularly those utilizing the GRtensorII package in Maple for complex transformations.

anigma
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Hello.
I found the GRtensor package very handy in tensor calculus.
However while doing coordinate transformation to the metric is a piece of cake, I have now idea how to transform a general tensor (for example T(mu,nu) or whatever).
there must be a way (an easy one) to do this. please advise.
thanks,
anigma.
 
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no one answered but over a hundred people read my message so I thought I write down the somewhat messy solution I found:
1. define new metric which identical to the tensor to be transformed.
this is easily done using grnewmetric(...);
2. transform the new metric using grtransform(...)
3. define and calc the tensor eq: `Tnew{a b}:=gnew{a b}`
hope it helps somebody.
anigma.
 

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