I was searching for a software that can calculate the tensor. I found in this forum some people suggest Cadabra (http://cadabra.phi-sci.com/) to calculate the tensors for relativity and field theory.(adsbygoogle = window.adsbygoogle || []).push({});

Can anyone help me how can I calculate the product of two antisymmetric tensor using Cadabra? like this:

[tex]\frac{1}{12}G_{\mu\nu\rho}G^{\mu\nu\rho}=\frac{1}{12}(\partial_{\mu}\phi_{\nu\rho}+\partial_{\nu} \phi_{\rho\mu}+\partial_{\rho}\phi_{\mu\nu})( \partial^{\mu}\phi^{\nu\rho}+\partial^{\nu}\phi^{ \rho \mu}+\partial^{\rho}\phi^{\mu\nu})[/tex]

Here [tex] \phi_{\mu\nu} [/tex] is antisymmetric tensor

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# Using cadabra to calculate antisymmetric tensor field

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